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Finding the Third Proportional to 343,309 and 502,673.50

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Solution

The third proportional to 343,309 and 502,673.50 is: 736,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,309 : 502,673.50 = 502,673.50 : x
  2. Step 2: Convert to fraction form
    343,309/502,673.50 = 502,673.50/x
  3. Step 3: Cross multiply
    343,309x = 502,673.50 × 502,673.50
  4. Step 4: Simplify right side
    343,309x = 252,680,647,602.25
  5. Step 5: Solve for x
    x = 252,680,647,602.25/343,309
  6. Step 6: Final answer
    x = 736,015.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.