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Finding the Third Proportional to 584,790.75 and 881,506.13

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Solution

The third proportional to 584,790.75 and 881,506.13 is: 1,328,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,790.75 : 881,506.13 = 881,506.13 : x
  2. Step 2: Convert to fraction form
    584,790.75/881,506.13 = 881,506.13/x
  3. Step 3: Cross multiply
    584,790.75x = 881,506.13 × 881,506.13
  4. Step 4: Simplify right side
    584,790.75x = 777,053,048,412.52
  5. Step 5: Solve for x
    x = 777,053,048,412.52/584,790.75
  6. Step 6: Final answer
    x = 1,328,771.10

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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.