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Finding the Third Proportional to 323,870,598 and 705,244,713.75

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Solution

The third proportional to 323,870,598 and 705,244,713.75 is: 1,535,706,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,870,598 : 705,244,713.75 = 705,244,713.75 : x
  2. Step 2: Convert to fraction form
    323,870,598/705,244,713.75 = 705,244,713.75/x
  3. Step 3: Cross multiply
    323,870,598x = 705,244,713.75 × 705,244,713.75
  4. Step 4: Simplify right side
    323,870,598x = 497,370,106,272,319,424
  5. Step 5: Solve for x
    x = 497,370,106,272,319,424/323,870,598
  6. Step 6: Final answer
    x = 1,535,706,264.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.