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Finding the Third Proportional to 620,352 and 935,712

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Solution

The third proportional to 620,352 and 935,712 is: 1,411,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,352 : 935,712 = 935,712 : x
  2. Step 2: Convert to fraction form
    620,352/935,712 = 935,712/x
  3. Step 3: Cross multiply
    620,352x = 935,712 × 935,712
  4. Step 4: Simplify right side
    620,352x = 875,556,946,944
  5. Step 5: Solve for x
    x = 875,556,946,944/620,352
  6. Step 6: Final answer
    x = 1,411,387.32

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Why These Related Problems?

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