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Finding the Third Proportional to 364,946 and 562,827

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Solution

The third proportional to 364,946 and 562,827 is: 868,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,946 : 562,827 = 562,827 : x
  2. Step 2: Convert to fraction form
    364,946/562,827 = 562,827/x
  3. Step 3: Cross multiply
    364,946x = 562,827 × 562,827
  4. Step 4: Simplify right side
    364,946x = 316,774,231,929
  5. Step 5: Solve for x
    x = 316,774,231,929/364,946
  6. Step 6: Final answer
    x = 868,003.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.