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Finding the Third Proportional to 360,433,548 and 558,358,891.50

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Solution

The third proportional to 360,433,548 and 558,358,891.50 is: 864,971,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,433,548 : 558,358,891.50 = 558,358,891.50 : x
  2. Step 2: Convert to fraction form
    360,433,548/558,358,891.50 = 558,358,891.50/x
  3. Step 3: Cross multiply
    360,433,548x = 558,358,891.50 × 558,358,891.50
  4. Step 4: Simplify right side
    360,433,548x = 311,764,651,717,108,800
  5. Step 5: Solve for x
    x = 311,764,651,717,108,800/360,433,548
  6. Step 6: Final answer
    x = 864,971,236.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.