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Finding the Third Proportional to 507,068 and 779,464

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Solution

The third proportional to 507,068 and 779,464 is: 1,198,190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,068 : 779,464 = 779,464 : x
  2. Step 2: Convert to fraction form
    507,068/779,464 = 779,464/x
  3. Step 3: Cross multiply
    507,068x = 779,464 × 779,464
  4. Step 4: Simplify right side
    507,068x = 607,564,127,296
  5. Step 5: Solve for x
    x = 607,564,127,296/507,068
  6. Step 6: Final answer
    x = 1,198,190.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.