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Finding the Third Proportional to 370,575.75 and 808,063.25

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Solution

The third proportional to 370,575.75 and 808,063.25 is: 1,762,031.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,575.75 : 808,063.25 = 808,063.25 : x
  2. Step 2: Convert to fraction form
    370,575.75/808,063.25 = 808,063.25/x
  3. Step 3: Cross multiply
    370,575.75x = 808,063.25 × 808,063.25
  4. Step 4: Simplify right side
    370,575.75x = 652,966,216,000.56
  5. Step 5: Solve for x
    x = 652,966,216,000.56/370,575.75
  6. Step 6: Final answer
    x = 1,762,031.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.