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Finding the Third Proportional to 595,202.63 and 894,160.69

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Solution

The third proportional to 595,202.63 and 894,160.69 is: 1,343,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,202.63 : 894,160.69 = 894,160.69 : x
  2. Step 2: Convert to fraction form
    595,202.63/894,160.69 = 894,160.69/x
  3. Step 3: Cross multiply
    595,202.63x = 894,160.69 × 894,160.69
  4. Step 4: Simplify right side
    595,202.63x = 799,523,335,070.47
  5. Step 5: Solve for x
    x = 799,523,335,070.47/595,202.63
  6. Step 6: Final answer
    x = 1,343,279.25

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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.