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Finding the Third Proportional to 307,008 and 473,633

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Solution

The third proportional to 307,008 and 473,633 is: 730,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,008 : 473,633 = 473,633 : x
  2. Step 2: Convert to fraction form
    307,008/473,633 = 473,633/x
  3. Step 3: Cross multiply
    307,008x = 473,633 × 473,633
  4. Step 4: Simplify right side
    307,008x = 224,328,218,689
  5. Step 5: Solve for x
    x = 224,328,218,689/307,008
  6. Step 6: Final answer
    x = 730,691.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.