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Finding the Third Proportional to 520,623,423 and 690,944,431.50

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Solution

The third proportional to 520,623,423 and 690,944,431.50 is: 916,985,648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,623,423 : 690,944,431.50 = 690,944,431.50 : x
  2. Step 2: Convert to fraction form
    520,623,423/690,944,431.50 = 690,944,431.50/x
  3. Step 3: Cross multiply
    520,623,423x = 690,944,431.50 × 690,944,431.50
  4. Step 4: Simplify right side
    520,623,423x = 477,404,207,420,858,176
  5. Step 5: Solve for x
    x = 477,404,207,420,858,176/520,623,423
  6. Step 6: Final answer
    x = 916,985,648.99

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.