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Finding the Third Proportional to 475,825,944 and 727,415,270

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Solution

The third proportional to 475,825,944 and 727,415,270 is: 1,112,030,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,825,944 : 727,415,270 = 727,415,270 : x
  2. Step 2: Convert to fraction form
    475,825,944/727,415,270 = 727,415,270/x
  3. Step 3: Cross multiply
    475,825,944x = 727,415,270 × 727,415,270
  4. Step 4: Simplify right side
    475,825,944x = 529,132,975,029,172,928
  5. Step 5: Solve for x
    x = 529,132,975,029,172,928/475,825,944
  6. Step 6: Final answer
    x = 1,112,030,526.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.