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Finding the Third Proportional to 341,592.75 and 510,506.44

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Solution

The third proportional to 341,592.75 and 510,506.44 is: 762,946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,592.75 : 510,506.44 = 510,506.44 : x
  2. Step 2: Convert to fraction form
    341,592.75/510,506.44 = 510,506.44/x
  3. Step 3: Cross multiply
    341,592.75x = 510,506.44 × 510,506.44
  4. Step 4: Simplify right side
    341,592.75x = 260,616,822,728.94
  5. Step 5: Solve for x
    x = 260,616,822,728.94/341,592.75
  6. Step 6: Final answer
    x = 762,946.00

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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.