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Finding the Third Proportional to 469,893 and 756,599.50

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Solution

The third proportional to 469,893 and 756,599.50 is: 1,218,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,893 : 756,599.50 = 756,599.50 : x
  2. Step 2: Convert to fraction form
    469,893/756,599.50 = 756,599.50/x
  3. Step 3: Cross multiply
    469,893x = 756,599.50 × 756,599.50
  4. Step 4: Simplify right side
    469,893x = 572,442,803,400.25
  5. Step 5: Solve for x
    x = 572,442,803,400.25/469,893
  6. Step 6: Final answer
    x = 1,218,240.76

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Why These Related Problems?

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