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Finding the Third Proportional to 549,882.84 and 841,185.84

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Solution

The third proportional to 549,882.84 and 841,185.84 is: 1,286,807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,882.84 : 841,185.84 = 841,185.84 : x
  2. Step 2: Convert to fraction form
    549,882.84/841,185.84 = 841,185.84/x
  3. Step 3: Cross multiply
    549,882.84x = 841,185.84 × 841,185.84
  4. Step 4: Simplify right side
    549,882.84x = 707,593,623,725.40
  5. Step 5: Solve for x
    x = 707,593,623,725.40/549,882.84
  6. Step 6: Final answer
    x = 1,286,807.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.