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Finding the Third Proportional to 281,572 and 583,106

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Solution

The third proportional to 281,572 and 583,106 is: 1,207,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,572 : 583,106 = 583,106 : x
  2. Step 2: Convert to fraction form
    281,572/583,106 = 583,106/x
  3. Step 3: Cross multiply
    281,572x = 583,106 × 583,106
  4. Step 4: Simplify right side
    281,572x = 340,012,607,236
  5. Step 5: Solve for x
    x = 340,012,607,236/281,572
  6. Step 6: Final answer
    x = 1,207,551.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.