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Finding the Third Proportional to 571,585.50 and 841,587.75

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Solution

The third proportional to 571,585.50 and 841,587.75 is: 1,239,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,585.50 : 841,587.75 = 841,587.75 : x
  2. Step 2: Convert to fraction form
    571,585.50/841,587.75 = 841,587.75/x
  3. Step 3: Cross multiply
    571,585.50x = 841,587.75 × 841,587.75
  4. Step 4: Simplify right side
    571,585.50x = 708,269,940,950.06
  5. Step 5: Solve for x
    x = 708,269,940,950.06/571,585.50
  6. Step 6: Final answer
    x = 1,239,132.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.