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Finding the Third Proportional to 288,752,558 and 623,527,264

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Solution

The third proportional to 288,752,558 and 623,527,264 is: 1,346,433,955.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,752,558 : 623,527,264 = 623,527,264 : x
  2. Step 2: Convert to fraction form
    288,752,558/623,527,264 = 623,527,264/x
  3. Step 3: Cross multiply
    288,752,558x = 623,527,264 × 623,527,264
  4. Step 4: Simplify right side
    288,752,558x = 388,786,248,951,325,696
  5. Step 5: Solve for x
    x = 388,786,248,951,325,696/288,752,558
  6. Step 6: Final answer
    x = 1,346,433,955.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.