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Finding the Third Proportional to 355,265,210 and 532,897,815

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Solution

The third proportional to 355,265,210 and 532,897,815 is: 799,346,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,265,210 : 532,897,815 = 532,897,815 : x
  2. Step 2: Convert to fraction form
    355,265,210/532,897,815 = 532,897,815/x
  3. Step 3: Cross multiply
    355,265,210x = 532,897,815 × 532,897,815
  4. Step 4: Simplify right side
    355,265,210x = 283,980,081,231,774,240
  5. Step 5: Solve for x
    x = 283,980,081,231,774,240/355,265,210
  6. Step 6: Final answer
    x = 799,346,722.50

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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.