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Finding the Third Proportional to 302,574 and 468,486

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Solution

The third proportional to 302,574 and 468,486 is: 725,373.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,574 : 468,486 = 468,486 : x
  2. Step 2: Convert to fraction form
    302,574/468,486 = 468,486/x
  3. Step 3: Cross multiply
    302,574x = 468,486 × 468,486
  4. Step 4: Simplify right side
    302,574x = 219,479,132,196
  5. Step 5: Solve for x
    x = 219,479,132,196/302,574
  6. Step 6: Final answer
    x = 725,373.40

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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.