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Finding the Third Proportional to 583,186.50 and 912,870

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Solution

The third proportional to 583,186.50 and 912,870 is: 1,428,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,186.50 : 912,870 = 912,870 : x
  2. Step 2: Convert to fraction form
    583,186.50/912,870 = 912,870/x
  3. Step 3: Cross multiply
    583,186.50x = 912,870 × 912,870
  4. Step 4: Simplify right side
    583,186.50x = 833,331,636,900
  5. Step 5: Solve for x
    x = 833,331,636,900/583,186.50
  6. Step 6: Final answer
    x = 1,428,928.20

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.