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Finding the Third Proportional to 535,408 and 713,784

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Solution

The third proportional to 535,408 and 713,784 is: 951,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,408 : 713,784 = 713,784 : x
  2. Step 2: Convert to fraction form
    535,408/713,784 = 713,784/x
  3. Step 3: Cross multiply
    535,408x = 713,784 × 713,784
  4. Step 4: Simplify right side
    535,408x = 509,487,598,656
  5. Step 5: Solve for x
    x = 509,487,598,656/535,408
  6. Step 6: Final answer
    x = 951,587.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.