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Finding the Third Proportional to 307,023 and 473,655

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Solution

The third proportional to 307,023 and 473,655 is: 730,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,023 : 473,655 = 473,655 : x
  2. Step 2: Convert to fraction form
    307,023/473,655 = 473,655/x
  3. Step 3: Cross multiply
    307,023x = 473,655 × 473,655
  4. Step 4: Simplify right side
    307,023x = 224,349,059,025
  5. Step 5: Solve for x
    x = 224,349,059,025/307,023
  6. Step 6: Final answer
    x = 730,723.95

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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.