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Finding the Third Proportional to 350,416.13 and 549,073.69

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Solution

The third proportional to 350,416.13 and 549,073.69 is: 860,354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,416.13 : 549,073.69 = 549,073.69 : x
  2. Step 2: Convert to fraction form
    350,416.13/549,073.69 = 549,073.69/x
  3. Step 3: Cross multiply
    350,416.13x = 549,073.69 × 549,073.69
  4. Step 4: Simplify right side
    350,416.13x = 301,481,914,304.85
  5. Step 5: Solve for x
    x = 301,481,914,304.85/350,416.13
  6. Step 6: Final answer
    x = 860,354.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.