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Finding the Third Proportional to 261,932,517 and 436,527,886.50

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Solution

The third proportional to 261,932,517 and 436,527,886.50 is: 727,502,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,932,517 : 436,527,886.50 = 436,527,886.50 : x
  2. Step 2: Convert to fraction form
    261,932,517/436,527,886.50 = 436,527,886.50/x
  3. Step 3: Cross multiply
    261,932,517x = 436,527,886.50 × 436,527,886.50
  4. Step 4: Simplify right side
    261,932,517x = 190,556,595,692,156,896
  5. Step 5: Solve for x
    x = 190,556,595,692,156,896/261,932,517
  6. Step 6: Final answer
    x = 727,502,632.64

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.