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Finding the Third Proportional to 257,994 and 390,888

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Solution

The third proportional to 257,994 and 390,888 is: 592,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,994 : 390,888 = 390,888 : x
  2. Step 2: Convert to fraction form
    257,994/390,888 = 390,888/x
  3. Step 3: Cross multiply
    257,994x = 390,888 × 390,888
  4. Step 4: Simplify right side
    257,994x = 152,793,428,544
  5. Step 5: Solve for x
    x = 152,793,428,544/257,994
  6. Step 6: Final answer
    x = 592,236.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.