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Finding the Third Proportional to 423,374.25 and 913,222.50

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Solution

The third proportional to 423,374.25 and 913,222.50 is: 1,969,830.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,374.25 : 913,222.50 = 913,222.50 : x
  2. Step 2: Convert to fraction form
    423,374.25/913,222.50 = 913,222.50/x
  3. Step 3: Cross multiply
    423,374.25x = 913,222.50 × 913,222.50
  4. Step 4: Simplify right side
    423,374.25x = 833,975,334,506.25
  5. Step 5: Solve for x
    x = 833,975,334,506.25/423,374.25
  6. Step 6: Final answer
    x = 1,969,830.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.