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Finding the Third Proportional to 369,116 and 570,030

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Solution

The third proportional to 369,116 and 570,030 is: 880,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,116 : 570,030 = 570,030 : x
  2. Step 2: Convert to fraction form
    369,116/570,030 = 570,030/x
  3. Step 3: Cross multiply
    369,116x = 570,030 × 570,030
  4. Step 4: Simplify right side
    369,116x = 324,934,200,900
  5. Step 5: Solve for x
    x = 324,934,200,900/369,116
  6. Step 6: Final answer
    x = 880,303.76

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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.