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Finding the Third Proportional to 346,712 and 745,912

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Solution

The third proportional to 346,712 and 745,912 is: 1,604,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,712 : 745,912 = 745,912 : x
  2. Step 2: Convert to fraction form
    346,712/745,912 = 745,912/x
  3. Step 3: Cross multiply
    346,712x = 745,912 × 745,912
  4. Step 4: Simplify right side
    346,712x = 556,384,711,744
  5. Step 5: Solve for x
    x = 556,384,711,744/346,712
  6. Step 6: Final answer
    x = 1,604,746.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.