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Finding the Third Proportional to 369,658 and 570,810

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Solution

The third proportional to 369,658 and 570,810 is: 881,420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,658 : 570,810 = 570,810 : x
  2. Step 2: Convert to fraction form
    369,658/570,810 = 570,810/x
  3. Step 3: Cross multiply
    369,658x = 570,810 × 570,810
  4. Step 4: Simplify right side
    369,658x = 325,824,056,100
  5. Step 5: Solve for x
    x = 325,824,056,100/369,658
  6. Step 6: Final answer
    x = 881,420.28

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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.