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Finding the Third Proportional to 586,776 and 881,462

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Solution

The third proportional to 586,776 and 881,462 is: 1,324,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,776 : 881,462 = 881,462 : x
  2. Step 2: Convert to fraction form
    586,776/881,462 = 881,462/x
  3. Step 3: Cross multiply
    586,776x = 881,462 × 881,462
  4. Step 4: Simplify right side
    586,776x = 776,975,257,444
  5. Step 5: Solve for x
    x = 776,975,257,444/586,776
  6. Step 6: Final answer
    x = 1,324,142.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.