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Finding the Third Proportional to 571,424 and 904,052

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Solution

The third proportional to 571,424 and 904,052 is: 1,430,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,424 : 904,052 = 904,052 : x
  2. Step 2: Convert to fraction form
    571,424/904,052 = 904,052/x
  3. Step 3: Cross multiply
    571,424x = 904,052 × 904,052
  4. Step 4: Simplify right side
    571,424x = 817,310,018,704
  5. Step 5: Solve for x
    x = 817,310,018,704/571,424
  6. Step 6: Final answer
    x = 1,430,303.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.