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Finding the Third Proportional to 262,748,390 and 369,588,141

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Solution

The third proportional to 262,748,390 and 369,588,141 is: 519,871,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,748,390 : 369,588,141 = 369,588,141 : x
  2. Step 2: Convert to fraction form
    262,748,390/369,588,141 = 369,588,141/x
  3. Step 3: Cross multiply
    262,748,390x = 369,588,141 × 369,588,141
  4. Step 4: Simplify right side
    262,748,390x = 136,595,393,967,835,888
  5. Step 5: Solve for x
    x = 136,595,393,967,835,888/262,748,390
  6. Step 6: Final answer
    x = 519,871,478.44

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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.