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Finding the Third Proportional to 371,068 and 563,681

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Solution

The third proportional to 371,068 and 563,681 is: 856,275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,068 : 563,681 = 563,681 : x
  2. Step 2: Convert to fraction form
    371,068/563,681 = 563,681/x
  3. Step 3: Cross multiply
    371,068x = 563,681 × 563,681
  4. Step 4: Simplify right side
    371,068x = 317,736,269,761
  5. Step 5: Solve for x
    x = 317,736,269,761/371,068
  6. Step 6: Final answer
    x = 856,275.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.