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Finding the Third Proportional to 346,225.17 and 517,953.79

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Solution

The third proportional to 346,225.17 and 517,953.79 is: 774,860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,225.17 : 517,953.79 = 517,953.79 : x
  2. Step 2: Convert to fraction form
    346,225.17/517,953.79 = 517,953.79/x
  3. Step 3: Cross multiply
    346,225.17x = 517,953.79 × 517,953.79
  4. Step 4: Simplify right side
    346,225.17x = 268,276,126,592.60
  5. Step 5: Solve for x
    x = 268,276,126,592.60/346,225.17
  6. Step 6: Final answer
    x = 774,860.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.