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Finding the Third Proportional to 592,342 and 846,460

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Solution

The third proportional to 592,342 and 846,460 is: 1,209,596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,342 : 846,460 = 846,460 : x
  2. Step 2: Convert to fraction form
    592,342/846,460 = 846,460/x
  3. Step 3: Cross multiply
    592,342x = 846,460 × 846,460
  4. Step 4: Simplify right side
    592,342x = 716,494,531,600
  5. Step 5: Solve for x
    x = 716,494,531,600/592,342
  6. Step 6: Final answer
    x = 1,209,596.03

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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.