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Finding the Third Proportional to 291,038 and 410,798

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Solution

The third proportional to 291,038 and 410,798 is: 579,838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,038 : 410,798 = 410,798 : x
  2. Step 2: Convert to fraction form
    291,038/410,798 = 410,798/x
  3. Step 3: Cross multiply
    291,038x = 410,798 × 410,798
  4. Step 4: Simplify right side
    291,038x = 168,754,996,804
  5. Step 5: Solve for x
    x = 168,754,996,804/291,038
  6. Step 6: Final answer
    x = 579,838.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.