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Finding the Third Proportional to 571,789 and 838,585.50

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Solution

The third proportional to 571,789 and 838,585.50 is: 1,229,869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,789 : 838,585.50 = 838,585.50 : x
  2. Step 2: Convert to fraction form
    571,789/838,585.50 = 838,585.50/x
  3. Step 3: Cross multiply
    571,789x = 838,585.50 × 838,585.50
  4. Step 4: Simplify right side
    571,789x = 703,225,640,810.25
  5. Step 5: Solve for x
    x = 703,225,640,810.25/571,789
  6. Step 6: Final answer
    x = 1,229,869.13

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