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Finding the Third Proportional to 523,948.50 and 1,145,965.50

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Solution

The third proportional to 523,948.50 and 1,145,965.50 is: 2,506,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,948.50 : 1,145,965.50 = 1,145,965.50 : x
  2. Step 2: Convert to fraction form
    523,948.50/1,145,965.50 = 1,145,965.50/x
  3. Step 3: Cross multiply
    523,948.50x = 1,145,965.50 × 1,145,965.50
  4. Step 4: Simplify right side
    523,948.50x = 1,313,236,927,190.25
  5. Step 5: Solve for x
    x = 1,313,236,927,190.25/523,948.50
  6. Step 6: Final answer
    x = 2,506,423.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.