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Finding the Third Proportional to 347,776 and 732,914

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Solution

The third proportional to 347,776 and 732,914 is: 1,544,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,776 : 732,914 = 732,914 : x
  2. Step 2: Convert to fraction form
    347,776/732,914 = 732,914/x
  3. Step 3: Cross multiply
    347,776x = 732,914 × 732,914
  4. Step 4: Simplify right side
    347,776x = 537,162,931,396
  5. Step 5: Solve for x
    x = 537,162,931,396/347,776
  6. Step 6: Final answer
    x = 1,544,565.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.