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Finding the Third Proportional to 434,534.63 and 636,247.13

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Solution

The third proportional to 434,534.63 and 636,247.13 is: 931,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,534.63 : 636,247.13 = 636,247.13 : x
  2. Step 2: Convert to fraction form
    434,534.63/636,247.13 = 636,247.13/x
  3. Step 3: Cross multiply
    434,534.63x = 636,247.13 × 636,247.13
  4. Step 4: Simplify right side
    434,534.63x = 404,810,404,070.77
  5. Step 5: Solve for x
    x = 404,810,404,070.77/434,534.63
  6. Step 6: Final answer
    x = 931,595.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.