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Finding the Third Proportional to 413,869.50 and 585,670.50

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Solution

The third proportional to 413,869.50 and 585,670.50 is: 828,787.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,869.50 : 585,670.50 = 585,670.50 : x
  2. Step 2: Convert to fraction form
    413,869.50/585,670.50 = 585,670.50/x
  3. Step 3: Cross multiply
    413,869.50x = 585,670.50 × 585,670.50
  4. Step 4: Simplify right side
    413,869.50x = 343,009,934,570.25
  5. Step 5: Solve for x
    x = 343,009,934,570.25/413,869.50
  6. Step 6: Final answer
    x = 828,787.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.