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Finding the Third Proportional to 462,402 and 691,723.13

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Solution

The third proportional to 462,402 and 691,723.13 is: 1,034,772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,402 : 691,723.13 = 691,723.13 : x
  2. Step 2: Convert to fraction form
    462,402/691,723.13 = 691,723.13/x
  3. Step 3: Cross multiply
    462,402x = 691,723.13 × 691,723.13
  4. Step 4: Simplify right side
    462,402x = 478,480,881,659.77
  5. Step 5: Solve for x
    x = 478,480,881,659.77/462,402
  6. Step 6: Final answer
    x = 1,034,772.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.