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Finding the Third Proportional to 435,537 and 653,305.50

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Solution

The third proportional to 435,537 and 653,305.50 is: 979,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,537 : 653,305.50 = 653,305.50 : x
  2. Step 2: Convert to fraction form
    435,537/653,305.50 = 653,305.50/x
  3. Step 3: Cross multiply
    435,537x = 653,305.50 × 653,305.50
  4. Step 4: Simplify right side
    435,537x = 426,808,076,330.25
  5. Step 5: Solve for x
    x = 426,808,076,330.25/435,537
  6. Step 6: Final answer
    x = 979,958.25

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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.