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Finding the Third Proportional to 297,458 and 579,971

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Solution

The third proportional to 297,458 and 579,971 is: 1,130,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,458 : 579,971 = 579,971 : x
  2. Step 2: Convert to fraction form
    297,458/579,971 = 579,971/x
  3. Step 3: Cross multiply
    297,458x = 579,971 × 579,971
  4. Step 4: Simplify right side
    297,458x = 336,366,360,841
  5. Step 5: Solve for x
    x = 336,366,360,841/297,458
  6. Step 6: Final answer
    x = 1,130,802.87

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.