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Finding the Third Proportional to 346,242 and 531,870

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Solution

The third proportional to 346,242 and 531,870 is: 817,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,242 : 531,870 = 531,870 : x
  2. Step 2: Convert to fraction form
    346,242/531,870 = 531,870/x
  3. Step 3: Cross multiply
    346,242x = 531,870 × 531,870
  4. Step 4: Simplify right side
    346,242x = 282,885,696,900
  5. Step 5: Solve for x
    x = 282,885,696,900/346,242
  6. Step 6: Final answer
    x = 817,017.28

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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.