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Finding the Third Proportional to 264,336,870 and 572,598,348

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Solution

The third proportional to 264,336,870 and 572,598,348 is: 1,240,344,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,336,870 : 572,598,348 = 572,598,348 : x
  2. Step 2: Convert to fraction form
    264,336,870/572,598,348 = 572,598,348/x
  3. Step 3: Cross multiply
    264,336,870x = 572,598,348 × 572,598,348
  4. Step 4: Simplify right side
    264,336,870x = 327,868,868,132,329,088
  5. Step 5: Solve for x
    x = 327,868,868,132,329,088/264,336,870
  6. Step 6: Final answer
    x = 1,240,344,822.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.