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Finding the Third Proportional to 561,109.50 and 1,210,792.50

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Solution

The third proportional to 561,109.50 and 1,210,792.50 is: 2,612,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,109.50 : 1,210,792.50 = 1,210,792.50 : x
  2. Step 2: Convert to fraction form
    561,109.50/1,210,792.50 = 1,210,792.50/x
  3. Step 3: Cross multiply
    561,109.50x = 1,210,792.50 × 1,210,792.50
  4. Step 4: Simplify right side
    561,109.50x = 1,466,018,478,056.25
  5. Step 5: Solve for x
    x = 1,466,018,478,056.25/561,109.50
  6. Step 6: Final answer
    x = 2,612,713.70

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