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Finding the Third Proportional to 258,076 and 555,702

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Solution

The third proportional to 258,076 and 555,702 is: 1,196,565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,076 : 555,702 = 555,702 : x
  2. Step 2: Convert to fraction form
    258,076/555,702 = 555,702/x
  3. Step 3: Cross multiply
    258,076x = 555,702 × 555,702
  4. Step 4: Simplify right side
    258,076x = 308,804,712,804
  5. Step 5: Solve for x
    x = 308,804,712,804/258,076
  6. Step 6: Final answer
    x = 1,196,565.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.