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Finding the Third Proportional to 497,186,827 and 691,298,541.50

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Solution

The third proportional to 497,186,827 and 691,298,541.50 is: 961,195,364.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,186,827 : 691,298,541.50 = 691,298,541.50 : x
  2. Step 2: Convert to fraction form
    497,186,827/691,298,541.50 = 691,298,541.50/x
  3. Step 3: Cross multiply
    497,186,827x = 691,298,541.50 × 691,298,541.50
  4. Step 4: Simplify right side
    497,186,827x = 477,893,673,480,027,200
  5. Step 5: Solve for x
    x = 477,893,673,480,027,200/497,186,827
  6. Step 6: Final answer
    x = 961,195,364.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.