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Finding the Third Proportional to 370,018 and 792,526

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Solution

The third proportional to 370,018 and 792,526 is: 1,697,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,018 : 792,526 = 792,526 : x
  2. Step 2: Convert to fraction form
    370,018/792,526 = 792,526/x
  3. Step 3: Cross multiply
    370,018x = 792,526 × 792,526
  4. Step 4: Simplify right side
    370,018x = 628,097,460,676
  5. Step 5: Solve for x
    x = 628,097,460,676/370,018
  6. Step 6: Final answer
    x = 1,697,478.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.