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Finding the Third Proportional to 452,802 and 663,159

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Solution

The third proportional to 452,802 and 663,159 is: 971,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,802 : 663,159 = 663,159 : x
  2. Step 2: Convert to fraction form
    452,802/663,159 = 663,159/x
  3. Step 3: Cross multiply
    452,802x = 663,159 × 663,159
  4. Step 4: Simplify right side
    452,802x = 439,779,859,281
  5. Step 5: Solve for x
    x = 439,779,859,281/452,802
  6. Step 6: Final answer
    x = 971,240.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.