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Finding the Third Proportional to 429,211.50 and 924,855

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Solution

The third proportional to 429,211.50 and 924,855 is: 1,992,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,211.50 : 924,855 = 924,855 : x
  2. Step 2: Convert to fraction form
    429,211.50/924,855 = 924,855/x
  3. Step 3: Cross multiply
    429,211.50x = 924,855 × 924,855
  4. Step 4: Simplify right side
    429,211.50x = 855,356,771,025
  5. Step 5: Solve for x
    x = 855,356,771,025/429,211.50
  6. Step 6: Final answer
    x = 1,992,856.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.