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Finding the Third Proportional to 276,521,309 and 592,484,557

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Solution

The third proportional to 276,521,309 and 592,484,557 is: 1,269,478,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,521,309 : 592,484,557 = 592,484,557 : x
  2. Step 2: Convert to fraction form
    276,521,309/592,484,557 = 592,484,557/x
  3. Step 3: Cross multiply
    276,521,309x = 592,484,557 × 592,484,557
  4. Step 4: Simplify right side
    276,521,309x = 351,037,950,283,486,272
  5. Step 5: Solve for x
    x = 351,037,950,283,486,272/276,521,309
  6. Step 6: Final answer
    x = 1,269,478,838.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.