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Finding the Third Proportional to 346,599 and 742,986

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Solution

The third proportional to 346,599 and 742,986 is: 1,592,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,599 : 742,986 = 742,986 : x
  2. Step 2: Convert to fraction form
    346,599/742,986 = 742,986/x
  3. Step 3: Cross multiply
    346,599x = 742,986 × 742,986
  4. Step 4: Simplify right side
    346,599x = 552,028,196,196
  5. Step 5: Solve for x
    x = 552,028,196,196/346,599
  6. Step 6: Final answer
    x = 1,592,699.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.