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Finding the Third Proportional to 346,332 and 519,510

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Solution

The third proportional to 346,332 and 519,510 is: 779,283.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,332 : 519,510 = 519,510 : x
  2. Step 2: Convert to fraction form
    346,332/519,510 = 519,510/x
  3. Step 3: Cross multiply
    346,332x = 519,510 × 519,510
  4. Step 4: Simplify right side
    346,332x = 269,890,640,100
  5. Step 5: Solve for x
    x = 269,890,640,100/346,332
  6. Step 6: Final answer
    x = 779,283.00

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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.