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Finding the Third Proportional to 434,273 and 671,095

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Solution

The third proportional to 434,273 and 671,095 is: 1,037,063.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,273 : 671,095 = 671,095 : x
  2. Step 2: Convert to fraction form
    434,273/671,095 = 671,095/x
  3. Step 3: Cross multiply
    434,273x = 671,095 × 671,095
  4. Step 4: Simplify right side
    434,273x = 450,368,499,025
  5. Step 5: Solve for x
    x = 450,368,499,025/434,273
  6. Step 6: Final answer
    x = 1,037,063.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.