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Finding the Third Proportional to 334,917,352 and 452,360,784

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Solution

The third proportional to 334,917,352 and 452,360,784 is: 610,987,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,917,352 : 452,360,784 = 452,360,784 : x
  2. Step 2: Convert to fraction form
    334,917,352/452,360,784 = 452,360,784/x
  3. Step 3: Cross multiply
    334,917,352x = 452,360,784 × 452,360,784
  4. Step 4: Simplify right side
    334,917,352x = 204,630,278,901,094,656
  5. Step 5: Solve for x
    x = 204,630,278,901,094,656/334,917,352
  6. Step 6: Final answer
    x = 610,987,390.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.