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Finding the Third Proportional to 514,708 and 742,535

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Solution

The third proportional to 514,708 and 742,535 is: 1,071,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,708 : 742,535 = 742,535 : x
  2. Step 2: Convert to fraction form
    514,708/742,535 = 742,535/x
  3. Step 3: Cross multiply
    514,708x = 742,535 × 742,535
  4. Step 4: Simplify right side
    514,708x = 551,358,226,225
  5. Step 5: Solve for x
    x = 551,358,226,225/514,708
  6. Step 6: Final answer
    x = 1,071,205.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.