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Finding the Third Proportional to 469,913.63 and 756,630

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Solution

The third proportional to 469,913.63 and 756,630 is: 1,218,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,913.63 : 756,630 = 756,630 : x
  2. Step 2: Convert to fraction form
    469,913.63/756,630 = 756,630/x
  3. Step 3: Cross multiply
    469,913.63x = 756,630 × 756,630
  4. Step 4: Simplify right side
    469,913.63x = 572,488,956,900
  5. Step 5: Solve for x
    x = 572,488,956,900/469,913.63
  6. Step 6: Final answer
    x = 1,218,285.50

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.