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Finding the Third Proportional to 553,948 and 904,460

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Solution

The third proportional to 553,948 and 904,460 is: 1,476,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,948 : 904,460 = 904,460 : x
  2. Step 2: Convert to fraction form
    553,948/904,460 = 904,460/x
  3. Step 3: Cross multiply
    553,948x = 904,460 × 904,460
  4. Step 4: Simplify right side
    553,948x = 818,047,891,600
  5. Step 5: Solve for x
    x = 818,047,891,600/553,948
  6. Step 6: Final answer
    x = 1,476,759.36

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.