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Finding the Third Proportional to 346,576 and 507,848

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Solution

The third proportional to 346,576 and 507,848 is: 744,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,576 : 507,848 = 507,848 : x
  2. Step 2: Convert to fraction form
    346,576/507,848 = 507,848/x
  3. Step 3: Cross multiply
    346,576x = 507,848 × 507,848
  4. Step 4: Simplify right side
    346,576x = 257,909,591,104
  5. Step 5: Solve for x
    x = 257,909,591,104/346,576
  6. Step 6: Final answer
    x = 744,164.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.