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Finding the Third Proportional to 302,750 and 468,776

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Solution

The third proportional to 302,750 and 468,776 is: 725,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,750 : 468,776 = 468,776 : x
  2. Step 2: Convert to fraction form
    302,750/468,776 = 468,776/x
  3. Step 3: Cross multiply
    302,750x = 468,776 × 468,776
  4. Step 4: Simplify right side
    302,750x = 219,750,938,176
  5. Step 5: Solve for x
    x = 219,750,938,176/302,750
  6. Step 6: Final answer
    x = 725,849.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.