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Finding the Third Proportional to 563,278.50 and 849,705.75

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Solution

The third proportional to 563,278.50 and 849,705.75 is: 1,281,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,278.50 : 849,705.75 = 849,705.75 : x
  2. Step 2: Convert to fraction form
    563,278.50/849,705.75 = 849,705.75/x
  3. Step 3: Cross multiply
    563,278.50x = 849,705.75 × 849,705.75
  4. Step 4: Simplify right side
    563,278.50x = 721,999,861,583.06
  5. Step 5: Solve for x
    x = 721,999,861,583.06/563,278.50
  6. Step 6: Final answer
    x = 1,281,781.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.