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Finding the Third Proportional to 254,177,284.50 and 392,768,718.75

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Solution

The third proportional to 254,177,284.50 and 392,768,718.75 is: 606,927,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,177,284.50 : 392,768,718.75 = 392,768,718.75 : x
  2. Step 2: Convert to fraction form
    254,177,284.50/392,768,718.75 = 392,768,718.75/x
  3. Step 3: Cross multiply
    254,177,284.50x = 392,768,718.75 × 392,768,718.75
  4. Step 4: Simplify right side
    254,177,284.50x = 154,267,266,428,516,608
  5. Step 5: Solve for x
    x = 154,267,266,428,516,608/254,177,284.50
  6. Step 6: Final answer
    x = 606,927,824.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.