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Finding the Third Proportional to 384,924 and 604,674

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Solution

The third proportional to 384,924 and 604,674 is: 949,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,924 : 604,674 = 604,674 : x
  2. Step 2: Convert to fraction form
    384,924/604,674 = 604,674/x
  3. Step 3: Cross multiply
    384,924x = 604,674 × 604,674
  4. Step 4: Simplify right side
    384,924x = 365,630,646,276
  5. Step 5: Solve for x
    x = 365,630,646,276/384,924
  6. Step 6: Final answer
    x = 949,877.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.