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Finding the Third Proportional to 352,248 and 760,632

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Solution

The third proportional to 352,248 and 760,632 is: 1,642,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,248 : 760,632 = 760,632 : x
  2. Step 2: Convert to fraction form
    352,248/760,632 = 760,632/x
  3. Step 3: Cross multiply
    352,248x = 760,632 × 760,632
  4. Step 4: Simplify right side
    352,248x = 578,561,039,424
  5. Step 5: Solve for x
    x = 578,561,039,424/352,248
  6. Step 6: Final answer
    x = 1,642,482.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.