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Finding the Third Proportional to 307,028 and 473,664

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Solution

The third proportional to 307,028 and 473,664 is: 730,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,028 : 473,664 = 473,664 : x
  2. Step 2: Convert to fraction form
    307,028/473,664 = 473,664/x
  3. Step 3: Cross multiply
    307,028x = 473,664 × 473,664
  4. Step 4: Simplify right side
    307,028x = 224,357,584,896
  5. Step 5: Solve for x
    x = 224,357,584,896/307,028
  6. Step 6: Final answer
    x = 730,739.82

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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.