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Finding the Third Proportional to 592,537 and 910,176

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Solution

The third proportional to 592,537 and 910,176 is: 1,398,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,537 : 910,176 = 910,176 : x
  2. Step 2: Convert to fraction form
    592,537/910,176 = 910,176/x
  3. Step 3: Cross multiply
    592,537x = 910,176 × 910,176
  4. Step 4: Simplify right side
    592,537x = 828,420,350,976
  5. Step 5: Solve for x
    x = 828,420,350,976/592,537
  6. Step 6: Final answer
    x = 1,398,090.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.