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Finding the Third Proportional to 410,612.06 and 877,970.25

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Solution

The third proportional to 410,612.06 and 877,970.25 is: 1,877,275.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,612.06 : 877,970.25 = 877,970.25 : x
  2. Step 2: Convert to fraction form
    410,612.06/877,970.25 = 877,970.25/x
  3. Step 3: Cross multiply
    410,612.06x = 877,970.25 × 877,970.25
  4. Step 4: Simplify right side
    410,612.06x = 770,831,759,885.06
  5. Step 5: Solve for x
    x = 770,831,759,885.06/410,612.06
  6. Step 6: Final answer
    x = 1,877,275.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.