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Finding the Third Proportional to 491,199 and 760,776

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Solution

The third proportional to 491,199 and 760,776 is: 1,178,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,199 : 760,776 = 760,776 : x
  2. Step 2: Convert to fraction form
    491,199/760,776 = 760,776/x
  3. Step 3: Cross multiply
    491,199x = 760,776 × 760,776
  4. Step 4: Simplify right side
    491,199x = 578,780,122,176
  5. Step 5: Solve for x
    x = 578,780,122,176/491,199
  6. Step 6: Final answer
    x = 1,178,300.69

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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.