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Finding the Third Proportional to 336,298.50 and 499,656.94

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Solution

The third proportional to 336,298.50 and 499,656.94 is: 742,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,298.50 : 499,656.94 = 499,656.94 : x
  2. Step 2: Convert to fraction form
    336,298.50/499,656.94 = 499,656.94/x
  3. Step 3: Cross multiply
    336,298.50x = 499,656.94 × 499,656.94
  4. Step 4: Simplify right side
    336,298.50x = 249,657,055,191.88
  5. Step 5: Solve for x
    x = 249,657,055,191.88/336,298.50
  6. Step 6: Final answer
    x = 742,367.44

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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.