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Finding the Third Proportional to 286,264.76 and 572,499.14

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Solution

The third proportional to 286,264.76 and 572,499.14 is: 1,144,937.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,264.76 : 572,499.14 = 572,499.14 : x
  2. Step 2: Convert to fraction form
    286,264.76/572,499.14 = 572,499.14/x
  3. Step 3: Cross multiply
    286,264.76x = 572,499.14 × 572,499.14
  4. Step 4: Simplify right side
    286,264.76x = 327,755,266,016.36
  5. Step 5: Solve for x
    x = 327,755,266,016.36/286,264.76
  6. Step 6: Final answer
    x = 1,144,937.53

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.