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Finding the Third Proportional to 353,942,308 and 554,016,382

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Solution

The third proportional to 353,942,308 and 554,016,382 is: 867,186,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,942,308 : 554,016,382 = 554,016,382 : x
  2. Step 2: Convert to fraction form
    353,942,308/554,016,382 = 554,016,382/x
  3. Step 3: Cross multiply
    353,942,308x = 554,016,382 × 554,016,382
  4. Step 4: Simplify right side
    353,942,308x = 306,934,151,524,369,920
  5. Step 5: Solve for x
    x = 306,934,151,524,369,920/353,942,308
  6. Step 6: Final answer
    x = 867,186,952.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.