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Finding the Third Proportional to 302,428 and 446,746

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Solution

The third proportional to 302,428 and 446,746 is: 659,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,428 : 446,746 = 446,746 : x
  2. Step 2: Convert to fraction form
    302,428/446,746 = 446,746/x
  3. Step 3: Cross multiply
    302,428x = 446,746 × 446,746
  4. Step 4: Simplify right side
    302,428x = 199,581,988,516
  5. Step 5: Solve for x
    x = 199,581,988,516/302,428
  6. Step 6: Final answer
    x = 659,932.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.