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Finding the Third Proportional to 357,048 and 740,340

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Solution

The third proportional to 357,048 and 740,340 is: 1,535,097.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,048 : 740,340 = 740,340 : x
  2. Step 2: Convert to fraction form
    357,048/740,340 = 740,340/x
  3. Step 3: Cross multiply
    357,048x = 740,340 × 740,340
  4. Step 4: Simplify right side
    357,048x = 548,103,315,600
  5. Step 5: Solve for x
    x = 548,103,315,600/357,048
  6. Step 6: Final answer
    x = 1,535,097.01

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.