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Finding the Third Proportional to 456,556.50 and 976,455

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Solution

The third proportional to 456,556.50 and 976,455 is: 2,088,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,556.50 : 976,455 = 976,455 : x
  2. Step 2: Convert to fraction form
    456,556.50/976,455 = 976,455/x
  3. Step 3: Cross multiply
    456,556.50x = 976,455 × 976,455
  4. Step 4: Simplify right side
    456,556.50x = 953,464,367,025
  5. Step 5: Solve for x
    x = 953,464,367,025/456,556.50
  6. Step 6: Final answer
    x = 2,088,381.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.