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Finding the Third Proportional to 297,020 and 460,326

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Solution

The third proportional to 297,020 and 460,326 is: 713,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,020 : 460,326 = 460,326 : x
  2. Step 2: Convert to fraction form
    297,020/460,326 = 460,326/x
  3. Step 3: Cross multiply
    297,020x = 460,326 × 460,326
  4. Step 4: Simplify right side
    297,020x = 211,900,026,276
  5. Step 5: Solve for x
    x = 211,900,026,276/297,020
  6. Step 6: Final answer
    x = 713,420.06

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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.