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Finding the Third Proportional to 583,146.56 and 912,812.06

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Solution

The third proportional to 583,146.56 and 912,812.06 is: 1,428,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,146.56 : 912,812.06 = 912,812.06 : x
  2. Step 2: Convert to fraction form
    583,146.56/912,812.06 = 912,812.06/x
  3. Step 3: Cross multiply
    583,146.56x = 912,812.06 × 912,812.06
  4. Step 4: Simplify right side
    583,146.56x = 833,225,861,445.50
  5. Step 5: Solve for x
    x = 833,225,861,445.50/583,146.56
  6. Step 6: Final answer
    x = 1,428,844.68

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Why These Related Problems?

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