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Finding the Third Proportional to 423,598.50 and 645,325.50

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Solution

The third proportional to 423,598.50 and 645,325.50 is: 983,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,598.50 : 645,325.50 = 645,325.50 : x
  2. Step 2: Convert to fraction form
    423,598.50/645,325.50 = 645,325.50/x
  3. Step 3: Cross multiply
    423,598.50x = 645,325.50 × 645,325.50
  4. Step 4: Simplify right side
    423,598.50x = 416,445,000,950.25
  5. Step 5: Solve for x
    x = 416,445,000,950.25/423,598.50
  6. Step 6: Final answer
    x = 983,112.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.