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Finding the Third Proportional to 535,545 and 820,312.50

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Solution

The third proportional to 535,545 and 820,312.50 is: 1,256,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,545 : 820,312.50 = 820,312.50 : x
  2. Step 2: Convert to fraction form
    535,545/820,312.50 = 820,312.50/x
  3. Step 3: Cross multiply
    535,545x = 820,312.50 × 820,312.50
  4. Step 4: Simplify right side
    535,545x = 672,912,597,656.25
  5. Step 5: Solve for x
    x = 672,912,597,656.25/535,545
  6. Step 6: Final answer
    x = 1,256,500.57

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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.