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Finding the Third Proportional to 424,014 and 573,813

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Solution

The third proportional to 424,014 and 573,813 is: 776,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,014 : 573,813 = 573,813 : x
  2. Step 2: Convert to fraction form
    424,014/573,813 = 573,813/x
  3. Step 3: Cross multiply
    424,014x = 573,813 × 573,813
  4. Step 4: Simplify right side
    424,014x = 329,261,358,969
  5. Step 5: Solve for x
    x = 329,261,358,969/424,014
  6. Step 6: Final answer
    x = 776,534.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.