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Finding the Third Proportional to 710.06 and 1,034.06

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Solution

The third proportional to 710.06 and 1,034.06 is: 1,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.06 : 1,034.06 = 1,034.06 : x
  2. Step 2: Convert to fraction form
    710.06/1,034.06 = 1,034.06/x
  3. Step 3: Cross multiply
    710.06x = 1,034.06 × 1,034.06
  4. Step 4: Simplify right side
    710.06x = 1,069,285.25
  5. Step 5: Solve for x
    x = 1,069,285.25/710.06
  6. Step 6: Final answer
    x = 1,505.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.