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Finding the Third Proportional to 514,711.50 and 742,539

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Solution

The third proportional to 514,711.50 and 742,539 is: 1,071,210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,711.50 : 742,539 = 742,539 : x
  2. Step 2: Convert to fraction form
    514,711.50/742,539 = 742,539/x
  3. Step 3: Cross multiply
    514,711.50x = 742,539 × 742,539
  4. Step 4: Simplify right side
    514,711.50x = 551,364,166,521
  5. Step 5: Solve for x
    x = 551,364,166,521/514,711.50
  6. Step 6: Final answer
    x = 1,071,210.12

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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.