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Finding the Third Proportional to 254,833,674.75 and 393,516,432.56

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Solution

The third proportional to 254,833,674.75 and 393,516,432.56 is: 607,671,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,833,674.75 : 393,516,432.56 = 393,516,432.56 : x
  2. Step 2: Convert to fraction form
    254,833,674.75/393,516,432.56 = 393,516,432.56/x
  3. Step 3: Cross multiply
    254,833,674.75x = 393,516,432.56 × 393,516,432.56
  4. Step 4: Simplify right side
    254,833,674.75x = 154,855,182,696,716,608
  5. Step 5: Solve for x
    x = 154,855,182,696,716,608/254,833,674.75
  6. Step 6: Final answer
    x = 607,671,583.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.