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Finding the Third Proportional to 369,127 and 578,294

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Solution

The third proportional to 369,127 and 578,294 is: 905,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,127 : 578,294 = 578,294 : x
  2. Step 2: Convert to fraction form
    369,127/578,294 = 578,294/x
  3. Step 3: Cross multiply
    369,127x = 578,294 × 578,294
  4. Step 4: Simplify right side
    369,127x = 334,423,950,436
  5. Step 5: Solve for x
    x = 334,423,950,436/369,127
  6. Step 6: Final answer
    x = 905,986.15

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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.