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Finding the Third Proportional to 515,262.50 and 778,533

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Solution

The third proportional to 515,262.50 and 778,533 is: 1,176,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,262.50 : 778,533 = 778,533 : x
  2. Step 2: Convert to fraction form
    515,262.50/778,533 = 778,533/x
  3. Step 3: Cross multiply
    515,262.50x = 778,533 × 778,533
  4. Step 4: Simplify right side
    515,262.50x = 606,113,632,089
  5. Step 5: Solve for x
    x = 606,113,632,089/515,262.50
  6. Step 6: Final answer
    x = 1,176,320.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.