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Finding the Third Proportional to 592,706.25 and 846,964.50

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Solution

The third proportional to 592,706.25 and 846,964.50 is: 1,210,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,706.25 : 846,964.50 = 846,964.50 : x
  2. Step 2: Convert to fraction form
    592,706.25/846,964.50 = 846,964.50/x
  3. Step 3: Cross multiply
    592,706.25x = 846,964.50 × 846,964.50
  4. Step 4: Simplify right side
    592,706.25x = 717,348,864,260.25
  5. Step 5: Solve for x
    x = 717,348,864,260.25/592,706.25
  6. Step 6: Final answer
    x = 1,210,294.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.