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Finding the Third Proportional to 426,255 and 636,465

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Solution

The third proportional to 426,255 and 636,465 is: 950,341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,255 : 636,465 = 636,465 : x
  2. Step 2: Convert to fraction form
    426,255/636,465 = 636,465/x
  3. Step 3: Cross multiply
    426,255x = 636,465 × 636,465
  4. Step 4: Simplify right side
    426,255x = 405,087,696,225
  5. Step 5: Solve for x
    x = 405,087,696,225/426,255
  6. Step 6: Final answer
    x = 950,341.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.