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Finding the Third Proportional to 296,175 and 577,588

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Solution

The third proportional to 296,175 and 577,588 is: 1,126,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,175 : 577,588 = 577,588 : x
  2. Step 2: Convert to fraction form
    296,175/577,588 = 577,588/x
  3. Step 3: Cross multiply
    296,175x = 577,588 × 577,588
  4. Step 4: Simplify right side
    296,175x = 333,607,897,744
  5. Step 5: Solve for x
    x = 333,607,897,744/296,175
  6. Step 6: Final answer
    x = 1,126,387.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.