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Finding the Third Proportional to 473,941.13 and 710,182.69

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Solution

The third proportional to 473,941.13 and 710,182.69 is: 1,064,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,941.13 : 710,182.69 = 710,182.69 : x
  2. Step 2: Convert to fraction form
    473,941.13/710,182.69 = 710,182.69/x
  3. Step 3: Cross multiply
    473,941.13x = 710,182.69 × 710,182.69
  4. Step 4: Simplify right side
    473,941.13x = 504,359,449,624.72
  5. Step 5: Solve for x
    x = 504,359,449,624.72/473,941.13
  6. Step 6: Final answer
    x = 1,064,181.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.