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Finding the Third Proportional to 583,132 and 952,202

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Solution

The third proportional to 583,132 and 952,202 is: 1,554,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,132 : 952,202 = 952,202 : x
  2. Step 2: Convert to fraction form
    583,132/952,202 = 952,202/x
  3. Step 3: Cross multiply
    583,132x = 952,202 × 952,202
  4. Step 4: Simplify right side
    583,132x = 906,688,648,804
  5. Step 5: Solve for x
    x = 906,688,648,804/583,132
  6. Step 6: Final answer
    x = 1,554,860.05

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.