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Finding the Third Proportional to 344,439 and 506,452.50

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Solution

The third proportional to 344,439 and 506,452.50 is: 744,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,439 : 506,452.50 = 506,452.50 : x
  2. Step 2: Convert to fraction form
    344,439/506,452.50 = 506,452.50/x
  3. Step 3: Cross multiply
    344,439x = 506,452.50 × 506,452.50
  4. Step 4: Simplify right side
    344,439x = 256,494,134,756.25
  5. Step 5: Solve for x
    x = 256,494,134,756.25/344,439
  6. Step 6: Final answer
    x = 744,672.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.