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Finding the Third Proportional to 636,734 and 963,297

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Solution

The third proportional to 636,734 and 963,297 is: 1,457,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,734 : 963,297 = 963,297 : x
  2. Step 2: Convert to fraction form
    636,734/963,297 = 963,297/x
  3. Step 3: Cross multiply
    636,734x = 963,297 × 963,297
  4. Step 4: Simplify right side
    636,734x = 927,941,110,209
  5. Step 5: Solve for x
    x = 927,941,110,209/636,734
  6. Step 6: Final answer
    x = 1,457,345.00

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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.