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Finding the Third Proportional to 253,141,623 and 380,386,515.75

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Solution

The third proportional to 253,141,623 and 380,386,515.75 is: 571,592,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,141,623 : 380,386,515.75 = 380,386,515.75 : x
  2. Step 2: Convert to fraction form
    253,141,623/380,386,515.75 = 380,386,515.75/x
  3. Step 3: Cross multiply
    253,141,623x = 380,386,515.75 × 380,386,515.75
  4. Step 4: Simplify right side
    253,141,623x = 144,693,901,364,424,992
  5. Step 5: Solve for x
    x = 144,693,901,364,424,992/253,141,623
  6. Step 6: Final answer
    x = 571,592,690.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.