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Finding the Third Proportional to 262,748,388 and 369,588,138

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Solution

The third proportional to 262,748,388 and 369,588,138 is: 519,871,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,748,388 : 369,588,138 = 369,588,138 : x
  2. Step 2: Convert to fraction form
    262,748,388/369,588,138 = 369,588,138/x
  3. Step 3: Cross multiply
    262,748,388x = 369,588,138 × 369,588,138
  4. Step 4: Simplify right side
    262,748,388x = 136,595,391,750,307,040
  5. Step 5: Solve for x
    x = 136,595,391,750,307,040/262,748,388
  6. Step 6: Final answer
    x = 519,871,473.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.