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Finding the Third Proportional to 343,316 and 502,682

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Solution

The third proportional to 343,316 and 502,682 is: 736,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,316 : 502,682 = 502,682 : x
  2. Step 2: Convert to fraction form
    343,316/502,682 = 502,682/x
  3. Step 3: Cross multiply
    343,316x = 502,682 × 502,682
  4. Step 4: Simplify right side
    343,316x = 252,689,193,124
  5. Step 5: Solve for x
    x = 252,689,193,124/343,316
  6. Step 6: Final answer
    x = 736,025.10

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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.