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Finding the Third Proportional to 576,220.50 and 830,071.13

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Solution

The third proportional to 576,220.50 and 830,071.13 is: 1,195,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,220.50 : 830,071.13 = 830,071.13 : x
  2. Step 2: Convert to fraction form
    576,220.50/830,071.13 = 830,071.13/x
  3. Step 3: Cross multiply
    576,220.50x = 830,071.13 × 830,071.13
  4. Step 4: Simplify right side
    576,220.50x = 689,018,072,558.77
  5. Step 5: Solve for x
    x = 689,018,072,558.77/576,220.50
  6. Step 6: Final answer
    x = 1,195,754.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.