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Finding the Third Proportional to 456,273 and 688,095

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Solution

The third proportional to 456,273 and 688,095 is: 1,037,700.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,273 : 688,095 = 688,095 : x
  2. Step 2: Convert to fraction form
    456,273/688,095 = 688,095/x
  3. Step 3: Cross multiply
    456,273x = 688,095 × 688,095
  4. Step 4: Simplify right side
    456,273x = 473,474,729,025
  5. Step 5: Solve for x
    x = 473,474,729,025/456,273
  6. Step 6: Final answer
    x = 1,037,700.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.