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Finding the Third Proportional to 485,527 and 735,037

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Solution

The third proportional to 485,527 and 735,037 is: 1,112,768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,527 : 735,037 = 735,037 : x
  2. Step 2: Convert to fraction form
    485,527/735,037 = 735,037/x
  3. Step 3: Cross multiply
    485,527x = 735,037 × 735,037
  4. Step 4: Simplify right side
    485,527x = 540,279,391,369
  5. Step 5: Solve for x
    x = 540,279,391,369/485,527
  6. Step 6: Final answer
    x = 1,112,768.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.