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Finding the Third Proportional to 407,160 and 535,413

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Solution

The third proportional to 407,160 and 535,413 is: 704,064.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,160 : 535,413 = 535,413 : x
  2. Step 2: Convert to fraction form
    407,160/535,413 = 535,413/x
  3. Step 3: Cross multiply
    407,160x = 535,413 × 535,413
  4. Step 4: Simplify right side
    407,160x = 286,667,080,569
  5. Step 5: Solve for x
    x = 286,667,080,569/407,160
  6. Step 6: Final answer
    x = 704,064.94

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.