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Finding the Third Proportional to 435,580 and 653,369

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Solution

The third proportional to 435,580 and 653,369 is: 980,052.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,580 : 653,369 = 653,369 : x
  2. Step 2: Convert to fraction form
    435,580/653,369 = 653,369/x
  3. Step 3: Cross multiply
    435,580x = 653,369 × 653,369
  4. Step 4: Simplify right side
    435,580x = 426,891,050,161
  5. Step 5: Solve for x
    x = 426,891,050,161/435,580
  6. Step 6: Final answer
    x = 980,052.00

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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.