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Finding the Third Proportional to 334,964 and 502,507

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Solution

The third proportional to 334,964 and 502,507 is: 753,852.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,964 : 502,507 = 502,507 : x
  2. Step 2: Convert to fraction form
    334,964/502,507 = 502,507/x
  3. Step 3: Cross multiply
    334,964x = 502,507 × 502,507
  4. Step 4: Simplify right side
    334,964x = 252,513,285,049
  5. Step 5: Solve for x
    x = 252,513,285,049/334,964
  6. Step 6: Final answer
    x = 753,852.01

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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.