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Finding the Third Proportional to 870 and 1,246.50

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Solution

The third proportional to 870 and 1,246.50 is: 1,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    870 : 1,246.50 = 1,246.50 : x
  2. Step 2: Convert to fraction form
    870/1,246.50 = 1,246.50/x
  3. Step 3: Cross multiply
    870x = 1,246.50 × 1,246.50
  4. Step 4: Simplify right side
    870x = 1,553,762.25
  5. Step 5: Solve for x
    x = 1,553,762.25/870
  6. Step 6: Final answer
    x = 1,785.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.