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Finding the Third Proportional to 403,449.75 and 602,804.25

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Solution

The third proportional to 403,449.75 and 602,804.25 is: 900,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,449.75 : 602,804.25 = 602,804.25 : x
  2. Step 2: Convert to fraction form
    403,449.75/602,804.25 = 602,804.25/x
  3. Step 3: Cross multiply
    403,449.75x = 602,804.25 × 602,804.25
  4. Step 4: Simplify right side
    403,449.75x = 363,372,963,818.06
  5. Step 5: Solve for x
    x = 363,372,963,818.06/403,449.75
  6. Step 6: Final answer
    x = 900,664.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.