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Finding the Third Proportional to 346,300 and 531,937

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Solution

The third proportional to 346,300 and 531,937 is: 817,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,300 : 531,937 = 531,937 : x
  2. Step 2: Convert to fraction form
    346,300/531,937 = 531,937/x
  3. Step 3: Cross multiply
    346,300x = 531,937 × 531,937
  4. Step 4: Simplify right side
    346,300x = 282,956,971,969
  5. Step 5: Solve for x
    x = 282,956,971,969/346,300
  6. Step 6: Final answer
    x = 817,086.26

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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.