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Finding the Third Proportional to 561,188.25 and 1,358,582.63

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Solution

The third proportional to 561,188.25 and 1,358,582.63 is: 3,288,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,188.25 : 1,358,582.63 = 1,358,582.63 : x
  2. Step 2: Convert to fraction form
    561,188.25/1,358,582.63 = 1,358,582.63/x
  3. Step 3: Cross multiply
    561,188.25x = 1,358,582.63 × 1,358,582.63
  4. Step 4: Simplify right side
    561,188.25x = 1,845,746,748,951.89
  5. Step 5: Solve for x
    x = 1,845,746,748,951.89/561,188.25
  6. Step 6: Final answer
    x = 3,288,997.50

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.