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Finding the Third Proportional to 485,949 and 719,358

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Solution

The third proportional to 485,949 and 719,358 is: 1,064,877.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,949 : 719,358 = 719,358 : x
  2. Step 2: Convert to fraction form
    485,949/719,358 = 719,358/x
  3. Step 3: Cross multiply
    485,949x = 719,358 × 719,358
  4. Step 4: Simplify right side
    485,949x = 517,475,932,164
  5. Step 5: Solve for x
    x = 517,475,932,164/485,949
  6. Step 6: Final answer
    x = 1,064,877.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.