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Finding the Third Proportional to 369,166 and 578,356

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Solution

The third proportional to 369,166 and 578,356 is: 906,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,166 : 578,356 = 578,356 : x
  2. Step 2: Convert to fraction form
    369,166/578,356 = 578,356/x
  3. Step 3: Cross multiply
    369,166x = 578,356 × 578,356
  4. Step 4: Simplify right side
    369,166x = 334,495,662,736
  5. Step 5: Solve for x
    x = 334,495,662,736/369,166
  6. Step 6: Final answer
    x = 906,084.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.