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Finding the Third Proportional to 597,295.50 and 924,834.75

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Solution

The third proportional to 597,295.50 and 924,834.75 is: 1,431,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,295.50 : 924,834.75 = 924,834.75 : x
  2. Step 2: Convert to fraction form
    597,295.50/924,834.75 = 924,834.75/x
  3. Step 3: Cross multiply
    597,295.50x = 924,834.75 × 924,834.75
  4. Step 4: Simplify right side
    597,295.50x = 855,319,314,807.56
  5. Step 5: Solve for x
    x = 855,319,314,807.56/597,295.50
  6. Step 6: Final answer
    x = 1,431,986.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.