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Finding the Third Proportional to 287,363 and 435,034

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Solution

The third proportional to 287,363 and 435,034 is: 658,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,363 : 435,034 = 435,034 : x
  2. Step 2: Convert to fraction form
    287,363/435,034 = 435,034/x
  3. Step 3: Cross multiply
    287,363x = 435,034 × 435,034
  4. Step 4: Simplify right side
    287,363x = 189,254,581,156
  5. Step 5: Solve for x
    x = 189,254,581,156/287,363
  6. Step 6: Final answer
    x = 658,590.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.