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Finding the Third Proportional to 459,747 and 713,537

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Solution

The third proportional to 459,747 and 713,537 is: 1,107,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,747 : 713,537 = 713,537 : x
  2. Step 2: Convert to fraction form
    459,747/713,537 = 713,537/x
  3. Step 3: Cross multiply
    459,747x = 713,537 × 713,537
  4. Step 4: Simplify right side
    459,747x = 509,135,050,369
  5. Step 5: Solve for x
    x = 509,135,050,369/459,747
  6. Step 6: Final answer
    x = 1,107,424.41

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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.