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Finding the Third Proportional to 429,225.75 and 924,878.25

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Solution

The third proportional to 429,225.75 and 924,878.25 is: 1,992,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,225.75 : 924,878.25 = 924,878.25 : x
  2. Step 2: Convert to fraction form
    429,225.75/924,878.25 = 924,878.25/x
  3. Step 3: Cross multiply
    429,225.75x = 924,878.25 × 924,878.25
  4. Step 4: Simplify right side
    429,225.75x = 855,399,777,323.06
  5. Step 5: Solve for x
    x = 855,399,777,323.06/429,225.75
  6. Step 6: Final answer
    x = 1,992,890.17

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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.