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Finding the Third Proportional to 456,397,060.50 and 681,908,940

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Solution

The third proportional to 456,397,060.50 and 681,908,940 is: 1,018,849,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,397,060.50 : 681,908,940 = 681,908,940 : x
  2. Step 2: Convert to fraction form
    456,397,060.50/681,908,940 = 681,908,940/x
  3. Step 3: Cross multiply
    456,397,060.50x = 681,908,940 × 681,908,940
  4. Step 4: Simplify right side
    456,397,060.50x = 464,999,802,451,923,584
  5. Step 5: Solve for x
    x = 464,999,802,451,923,584/456,397,060.50
  6. Step 6: Final answer
    x = 1,018,849,249.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.