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Finding the Third Proportional to 323,870,586 and 705,244,690.50

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Solution

The third proportional to 323,870,586 and 705,244,690.50 is: 1,535,706,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,870,586 : 705,244,690.50 = 705,244,690.50 : x
  2. Step 2: Convert to fraction form
    323,870,586/705,244,690.50 = 705,244,690.50/x
  3. Step 3: Cross multiply
    323,870,586x = 705,244,690.50 × 705,244,690.50
  4. Step 4: Simplify right side
    323,870,586x = 497,370,073,478,440,768
  5. Step 5: Solve for x
    x = 497,370,073,478,440,768/323,870,586
  6. Step 6: Final answer
    x = 1,535,706,220.26

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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.