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Finding the Third Proportional to 370,862 and 503,784

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Solution

The third proportional to 370,862 and 503,784 is: 684,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,862 : 503,784 = 503,784 : x
  2. Step 2: Convert to fraction form
    370,862/503,784 = 503,784/x
  3. Step 3: Cross multiply
    370,862x = 503,784 × 503,784
  4. Step 4: Simplify right side
    370,862x = 253,798,318,656
  5. Step 5: Solve for x
    x = 253,798,318,656/370,862
  6. Step 6: Final answer
    x = 684,347.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.