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Finding the Third Proportional to 584,791 and 881,506

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Solution

The third proportional to 584,791 and 881,506 is: 1,328,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,791 : 881,506 = 881,506 : x
  2. Step 2: Convert to fraction form
    584,791/881,506 = 881,506/x
  3. Step 3: Cross multiply
    584,791x = 881,506 × 881,506
  4. Step 4: Simplify right side
    584,791x = 777,052,828,036
  5. Step 5: Solve for x
    x = 777,052,828,036/584,791
  6. Step 6: Final answer
    x = 1,328,770.16

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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.