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Finding the Third Proportional to 356,465 and 759,154

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Solution

The third proportional to 356,465 and 759,154 is: 1,616,750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,465 : 759,154 = 759,154 : x
  2. Step 2: Convert to fraction form
    356,465/759,154 = 759,154/x
  3. Step 3: Cross multiply
    356,465x = 759,154 × 759,154
  4. Step 4: Simplify right side
    356,465x = 576,314,795,716
  5. Step 5: Solve for x
    x = 576,314,795,716/356,465
  6. Step 6: Final answer
    x = 1,616,750.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.