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Finding the Third Proportional to 288,349,432 and 597,138,080

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Solution

The third proportional to 288,349,432 and 597,138,080 is: 1,236,603,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,349,432 : 597,138,080 = 597,138,080 : x
  2. Step 2: Convert to fraction form
    288,349,432/597,138,080 = 597,138,080/x
  3. Step 3: Cross multiply
    288,349,432x = 597,138,080 × 597,138,080
  4. Step 4: Simplify right side
    288,349,432x = 356,573,886,586,086,400
  5. Step 5: Solve for x
    x = 356,573,886,586,086,400/288,349,432
  6. Step 6: Final answer
    x = 1,236,603,395.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.