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Finding the Third Proportional to 346,239 and 521,637

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Solution

The third proportional to 346,239 and 521,637 is: 785,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,239 : 521,637 = 521,637 : x
  2. Step 2: Convert to fraction form
    346,239/521,637 = 521,637/x
  3. Step 3: Cross multiply
    346,239x = 521,637 × 521,637
  4. Step 4: Simplify right side
    346,239x = 272,105,159,769
  5. Step 5: Solve for x
    x = 272,105,159,769/346,239
  6. Step 6: Final answer
    x = 785,888.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.