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Finding the Third Proportional to 523,510.50 and 830,303.25

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Solution

The third proportional to 523,510.50 and 830,303.25 is: 1,316,885.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,510.50 : 830,303.25 = 830,303.25 : x
  2. Step 2: Convert to fraction form
    523,510.50/830,303.25 = 830,303.25/x
  3. Step 3: Cross multiply
    523,510.50x = 830,303.25 × 830,303.25
  4. Step 4: Simplify right side
    523,510.50x = 689,403,486,960.56
  5. Step 5: Solve for x
    x = 689,403,486,960.56/523,510.50
  6. Step 6: Final answer
    x = 1,316,885.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.