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Finding the Third Proportional to 258,070 and 556,964

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Solution

The third proportional to 258,070 and 556,964 is: 1,202,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,070 : 556,964 = 556,964 : x
  2. Step 2: Convert to fraction form
    258,070/556,964 = 556,964/x
  3. Step 3: Cross multiply
    258,070x = 556,964 × 556,964
  4. Step 4: Simplify right side
    258,070x = 310,208,897,296
  5. Step 5: Solve for x
    x = 310,208,897,296/258,070
  6. Step 6: Final answer
    x = 1,202,033.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.