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Finding the Third Proportional to 515,875.50 and 579,847.50

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Solution

The third proportional to 515,875.50 and 579,847.50 is: 651,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,875.50 : 579,847.50 = 579,847.50 : x
  2. Step 2: Convert to fraction form
    515,875.50/579,847.50 = 579,847.50/x
  3. Step 3: Cross multiply
    515,875.50x = 579,847.50 × 579,847.50
  4. Step 4: Simplify right side
    515,875.50x = 336,223,123,256.25
  5. Step 5: Solve for x
    x = 336,223,123,256.25/515,875.50
  6. Step 6: Final answer
    x = 651,752.45

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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.