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Finding the Third Proportional to 208,730 and 456,844

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Solution

The third proportional to 208,730 and 456,844 is: 999,887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,730 : 456,844 = 456,844 : x
  2. Step 2: Convert to fraction form
    208,730/456,844 = 456,844/x
  3. Step 3: Cross multiply
    208,730x = 456,844 × 456,844
  4. Step 4: Simplify right side
    208,730x = 208,706,440,336
  5. Step 5: Solve for x
    x = 208,706,440,336/208,730
  6. Step 6: Final answer
    x = 999,887.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.