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Finding the Third Proportional to 334,326,300 and 506,538,135

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Solution

The third proportional to 334,326,300 and 506,538,135 is: 767,456,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,326,300 : 506,538,135 = 506,538,135 : x
  2. Step 2: Convert to fraction form
    334,326,300/506,538,135 = 506,538,135/x
  3. Step 3: Cross multiply
    334,326,300x = 506,538,135 × 506,538,135
  4. Step 4: Simplify right side
    334,326,300x = 256,580,882,209,278,240
  5. Step 5: Solve for x
    x = 256,580,882,209,278,240/334,326,300
  6. Step 6: Final answer
    x = 767,456,470.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.