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Finding the Third Proportional to 288,752,559 and 623,527,266

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Solution

The third proportional to 288,752,559 and 623,527,266 is: 1,346,433,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,752,559 : 623,527,266 = 623,527,266 : x
  2. Step 2: Convert to fraction form
    288,752,559/623,527,266 = 623,527,266/x
  3. Step 3: Cross multiply
    288,752,559x = 623,527,266 × 623,527,266
  4. Step 4: Simplify right side
    288,752,559x = 388,786,251,445,434,752
  5. Step 5: Solve for x
    x = 388,786,251,445,434,752/288,752,559
  6. Step 6: Final answer
    x = 1,346,433,959.90

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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.