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Finding the Third Proportional to 604,929.75 and 928,543.50

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Solution

The third proportional to 604,929.75 and 928,543.50 is: 1,425,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,929.75 : 928,543.50 = 928,543.50 : x
  2. Step 2: Convert to fraction form
    604,929.75/928,543.50 = 928,543.50/x
  3. Step 3: Cross multiply
    604,929.75x = 928,543.50 × 928,543.50
  4. Step 4: Simplify right side
    604,929.75x = 862,193,031,392.25
  5. Step 5: Solve for x
    x = 862,193,031,392.25/604,929.75
  6. Step 6: Final answer
    x = 1,425,277.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.