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Finding the Third Proportional to 365,466.94 and 564,818.06

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Solution

The third proportional to 365,466.94 and 564,818.06 is: 872,909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,466.94 : 564,818.06 = 564,818.06 : x
  2. Step 2: Convert to fraction form
    365,466.94/564,818.06 = 564,818.06/x
  3. Step 3: Cross multiply
    365,466.94x = 564,818.06 × 564,818.06
  4. Step 4: Simplify right side
    365,466.94x = 319,019,443,726.25
  5. Step 5: Solve for x
    x = 319,019,443,726.25/365,466.94
  6. Step 6: Final answer
    x = 872,909.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.