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Finding the Third Proportional to 328,541.25 and 712,850.25

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Solution

The third proportional to 328,541.25 and 712,850.25 is: 1,546,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,541.25 : 712,850.25 = 712,850.25 : x
  2. Step 2: Convert to fraction form
    328,541.25/712,850.25 = 712,850.25/x
  3. Step 3: Cross multiply
    328,541.25x = 712,850.25 × 712,850.25
  4. Step 4: Simplify right side
    328,541.25x = 508,155,478,925.06
  5. Step 5: Solve for x
    x = 508,155,478,925.06/328,541.25
  6. Step 6: Final answer
    x = 1,546,702.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.