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Finding the Third Proportional to 279,816,764 and 598,941,132.50

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Solution

The third proportional to 279,816,764 and 598,941,132.50 is: 1,282,019,258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,816,764 : 598,941,132.50 = 598,941,132.50 : x
  2. Step 2: Convert to fraction form
    279,816,764/598,941,132.50 = 598,941,132.50/x
  3. Step 3: Cross multiply
    279,816,764x = 598,941,132.50 × 598,941,132.50
  4. Step 4: Simplify right side
    279,816,764x = 358,730,480,200,382,528
  5. Step 5: Solve for x
    x = 358,730,480,200,382,528/279,816,764
  6. Step 6: Final answer
    x = 1,282,019,258.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.