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Finding the Third Proportional to 366,160 and 791,541

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Solution

The third proportional to 366,160 and 791,541 is: 1,711,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,160 : 791,541 = 791,541 : x
  2. Step 2: Convert to fraction form
    366,160/791,541 = 791,541/x
  3. Step 3: Cross multiply
    366,160x = 791,541 × 791,541
  4. Step 4: Simplify right side
    366,160x = 626,537,154,681
  5. Step 5: Solve for x
    x = 626,537,154,681/366,160
  6. Step 6: Final answer
    x = 1,711,102.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.