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Finding the Third Proportional to 560,858.71 and 870,097.10

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Solution

The third proportional to 560,858.71 and 870,097.10 is: 1,349,838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,858.71 : 870,097.10 = 870,097.10 : x
  2. Step 2: Convert to fraction form
    560,858.71/870,097.10 = 870,097.10/x
  3. Step 3: Cross multiply
    560,858.71x = 870,097.10 × 870,097.10
  4. Step 4: Simplify right side
    560,858.71x = 757,068,955,951.00
  5. Step 5: Solve for x
    x = 757,068,955,951.00/560,858.71
  6. Step 6: Final answer
    x = 1,349,838.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.