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Finding the Third Proportional to 434,510 and 636,210

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Solution

The third proportional to 434,510 and 636,210 is: 931,539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,510 : 636,210 = 636,210 : x
  2. Step 2: Convert to fraction form
    434,510/636,210 = 636,210/x
  3. Step 3: Cross multiply
    434,510x = 636,210 × 636,210
  4. Step 4: Simplify right side
    434,510x = 404,763,164,100
  5. Step 5: Solve for x
    x = 404,763,164,100/434,510
  6. Step 6: Final answer
    x = 931,539.35

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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.