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Finding the Third Proportional to 514,089 and 753,566

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Solution

The third proportional to 514,089 and 753,566 is: 1,104,598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,089 : 753,566 = 753,566 : x
  2. Step 2: Convert to fraction form
    514,089/753,566 = 753,566/x
  3. Step 3: Cross multiply
    514,089x = 753,566 × 753,566
  4. Step 4: Simplify right side
    514,089x = 567,861,716,356
  5. Step 5: Solve for x
    x = 567,861,716,356/514,089
  6. Step 6: Final answer
    x = 1,104,598.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.