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Finding the Third Proportional to 252,875.61 and 541,820.71

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Solution

The third proportional to 252,875.61 and 541,820.71 is: 1,160,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,875.61 : 541,820.71 = 541,820.71 : x
  2. Step 2: Convert to fraction form
    252,875.61/541,820.71 = 541,820.71/x
  3. Step 3: Cross multiply
    252,875.61x = 541,820.71 × 541,820.71
  4. Step 4: Simplify right side
    252,875.61x = 293,569,678,567.84
  5. Step 5: Solve for x
    x = 293,569,678,567.84/252,875.61
  6. Step 6: Final answer
    x = 1,160,925.23

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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.