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Finding the Third Proportional to 573,085.13 and 883,684.69

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Solution

The third proportional to 573,085.13 and 883,684.69 is: 1,362,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,085.13 : 883,684.69 = 883,684.69 : x
  2. Step 2: Convert to fraction form
    573,085.13/883,684.69 = 883,684.69/x
  3. Step 3: Cross multiply
    573,085.13x = 883,684.69 × 883,684.69
  4. Step 4: Simplify right side
    573,085.13x = 780,898,626,921.97
  5. Step 5: Solve for x
    x = 780,898,626,921.97/573,085.13
  6. Step 6: Final answer
    x = 1,362,622.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.