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Finding the Third Proportional to 369,111 and 570,024

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Solution

The third proportional to 369,111 and 570,024 is: 880,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,111 : 570,024 = 570,024 : x
  2. Step 2: Convert to fraction form
    369,111/570,024 = 570,024/x
  3. Step 3: Cross multiply
    369,111x = 570,024 × 570,024
  4. Step 4: Simplify right side
    369,111x = 324,927,360,576
  5. Step 5: Solve for x
    x = 324,927,360,576/369,111
  6. Step 6: Final answer
    x = 880,297.15

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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.