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Finding the Third Proportional to 485,357 and 712,159

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Solution

The third proportional to 485,357 and 712,159 is: 1,044,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,357 : 712,159 = 712,159 : x
  2. Step 2: Convert to fraction form
    485,357/712,159 = 712,159/x
  3. Step 3: Cross multiply
    485,357x = 712,159 × 712,159
  4. Step 4: Simplify right side
    485,357x = 507,170,441,281
  5. Step 5: Solve for x
    x = 507,170,441,281/485,357
  6. Step 6: Final answer
    x = 1,044,943.09

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Why These Related Problems?

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