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Finding the Third Proportional to 421,963 and 924,033.50

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Solution

The third proportional to 421,963 and 924,033.50 is: 2,023,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,963 : 924,033.50 = 924,033.50 : x
  2. Step 2: Convert to fraction form
    421,963/924,033.50 = 924,033.50/x
  3. Step 3: Cross multiply
    421,963x = 924,033.50 × 924,033.50
  4. Step 4: Simplify right side
    421,963x = 853,837,909,122.25
  5. Step 5: Solve for x
    x = 853,837,909,122.25/421,963
  6. Step 6: Final answer
    x = 2,023,490.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.