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Finding the Third Proportional to 597,946 and 805,560

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Solution

The third proportional to 597,946 and 805,560 is: 1,085,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,946 : 805,560 = 805,560 : x
  2. Step 2: Convert to fraction form
    597,946/805,560 = 805,560/x
  3. Step 3: Cross multiply
    597,946x = 805,560 × 805,560
  4. Step 4: Simplify right side
    597,946x = 648,926,913,600
  5. Step 5: Solve for x
    x = 648,926,913,600/597,946
  6. Step 6: Final answer
    x = 1,085,260.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.