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Finding the Third Proportional to 346,322 and 519,492

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Solution

The third proportional to 346,322 and 519,492 is: 779,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,322 : 519,492 = 519,492 : x
  2. Step 2: Convert to fraction form
    346,322/519,492 = 519,492/x
  3. Step 3: Cross multiply
    346,322x = 519,492 × 519,492
  4. Step 4: Simplify right side
    346,322x = 269,871,938,064
  5. Step 5: Solve for x
    x = 269,871,938,064/346,322
  6. Step 6: Final answer
    x = 779,251.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.