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Finding the Third Proportional to 597,042 and 904,203

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Solution

The third proportional to 597,042 and 904,203 is: 1,369,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,042 : 904,203 = 904,203 : x
  2. Step 2: Convert to fraction form
    597,042/904,203 = 904,203/x
  3. Step 3: Cross multiply
    597,042x = 904,203 × 904,203
  4. Step 4: Simplify right side
    597,042x = 817,583,065,209
  5. Step 5: Solve for x
    x = 817,583,065,209/597,042
  6. Step 6: Final answer
    x = 1,369,389.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.