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Finding the Third Proportional to 437,373 and 653,782.50

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Solution

The third proportional to 437,373 and 653,782.50 is: 977,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,373 : 653,782.50 = 653,782.50 : x
  2. Step 2: Convert to fraction form
    437,373/653,782.50 = 653,782.50/x
  3. Step 3: Cross multiply
    437,373x = 653,782.50 × 653,782.50
  4. Step 4: Simplify right side
    437,373x = 427,431,557,306.25
  5. Step 5: Solve for x
    x = 427,431,557,306.25/437,373
  6. Step 6: Final answer
    x = 977,270.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.