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Finding the Third Proportional to 403,624 and 865,202

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Solution

The third proportional to 403,624 and 865,202 is: 1,854,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,624 : 865,202 = 865,202 : x
  2. Step 2: Convert to fraction form
    403,624/865,202 = 865,202/x
  3. Step 3: Cross multiply
    403,624x = 865,202 × 865,202
  4. Step 4: Simplify right side
    403,624x = 748,574,500,804
  5. Step 5: Solve for x
    x = 748,574,500,804/403,624
  6. Step 6: Final answer
    x = 1,854,633.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.