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Finding the Third Proportional to 264,689,506 and 400,438,521

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Solution

The third proportional to 264,689,506 and 400,438,521 is: 605,807,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,689,506 : 400,438,521 = 400,438,521 : x
  2. Step 2: Convert to fraction form
    264,689,506/400,438,521 = 400,438,521/x
  3. Step 3: Cross multiply
    264,689,506x = 400,438,521 × 400,438,521
  4. Step 4: Simplify right side
    264,689,506x = 160,351,009,100,667,456
  5. Step 5: Solve for x
    x = 160,351,009,100,667,456/264,689,506
  6. Step 6: Final answer
    x = 605,807,957.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.