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Finding the Third Proportional to 515,038.50 and 590,125.50

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Solution

The third proportional to 515,038.50 and 590,125.50 is: 676,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,038.50 : 590,125.50 = 590,125.50 : x
  2. Step 2: Convert to fraction form
    515,038.50/590,125.50 = 590,125.50/x
  3. Step 3: Cross multiply
    515,038.50x = 590,125.50 × 590,125.50
  4. Step 4: Simplify right side
    515,038.50x = 348,248,105,750.25
  5. Step 5: Solve for x
    x = 348,248,105,750.25/515,038.50
  6. Step 6: Final answer
    x = 676,159.37

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.