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Finding the Third Proportional to 507,374 and 780,135

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Solution

The third proportional to 507,374 and 780,135 is: 1,199,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,374 : 780,135 = 780,135 : x
  2. Step 2: Convert to fraction form
    507,374/780,135 = 780,135/x
  3. Step 3: Cross multiply
    507,374x = 780,135 × 780,135
  4. Step 4: Simplify right side
    507,374x = 608,610,618,225
  5. Step 5: Solve for x
    x = 608,610,618,225/507,374
  6. Step 6: Final answer
    x = 1,199,530.56

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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.