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Finding the Third Proportional to 429,071.25 and 924,590.25

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Solution

The third proportional to 429,071.25 and 924,590.25 is: 1,992,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,071.25 : 924,590.25 = 924,590.25 : x
  2. Step 2: Convert to fraction form
    429,071.25/924,590.25 = 924,590.25/x
  3. Step 3: Cross multiply
    429,071.25x = 924,590.25 × 924,590.25
  4. Step 4: Simplify right side
    429,071.25x = 854,867,130,395.06
  5. Step 5: Solve for x
    x = 854,867,130,395.06/429,071.25
  6. Step 6: Final answer
    x = 1,992,366.37

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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.