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Finding the Third Proportional to 325,564 and 705,458

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Solution

The third proportional to 325,564 and 705,458 is: 1,528,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,564 : 705,458 = 705,458 : x
  2. Step 2: Convert to fraction form
    325,564/705,458 = 705,458/x
  3. Step 3: Cross multiply
    325,564x = 705,458 × 705,458
  4. Step 4: Simplify right side
    325,564x = 497,670,989,764
  5. Step 5: Solve for x
    x = 497,670,989,764/325,564
  6. Step 6: Final answer
    x = 1,528,642.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.