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Finding the Third Proportional to 403,924 and 849,632

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Solution

The third proportional to 403,924 and 849,632 is: 1,787,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,924 : 849,632 = 849,632 : x
  2. Step 2: Convert to fraction form
    403,924/849,632 = 849,632/x
  3. Step 3: Cross multiply
    403,924x = 849,632 × 849,632
  4. Step 4: Simplify right side
    403,924x = 721,874,535,424
  5. Step 5: Solve for x
    x = 721,874,535,424/403,924
  6. Step 6: Final answer
    x = 1,787,154.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.