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Finding the Third Proportional to 364,306 and 542,714

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Solution

The third proportional to 364,306 and 542,714 is: 808,492.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,306 : 542,714 = 542,714 : x
  2. Step 2: Convert to fraction form
    364,306/542,714 = 542,714/x
  3. Step 3: Cross multiply
    364,306x = 542,714 × 542,714
  4. Step 4: Simplify right side
    364,306x = 294,538,485,796
  5. Step 5: Solve for x
    x = 294,538,485,796/364,306
  6. Step 6: Final answer
    x = 808,492.00

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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.