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Finding the Third Proportional to 515,263 and 778,535

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Solution

The third proportional to 515,263 and 778,535 is: 1,176,325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,263 : 778,535 = 778,535 : x
  2. Step 2: Convert to fraction form
    515,263/778,535 = 778,535/x
  3. Step 3: Cross multiply
    515,263x = 778,535 × 778,535
  4. Step 4: Simplify right side
    515,263x = 606,116,746,225
  5. Step 5: Solve for x
    x = 606,116,746,225/515,263
  6. Step 6: Final answer
    x = 1,176,325.00

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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.