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Finding the Third Proportional to 592,560 and 846,768

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Solution

The third proportional to 592,560 and 846,768 is: 1,210,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,560 : 846,768 = 846,768 : x
  2. Step 2: Convert to fraction form
    592,560/846,768 = 846,768/x
  3. Step 3: Cross multiply
    592,560x = 846,768 × 846,768
  4. Step 4: Simplify right side
    592,560x = 717,016,045,824
  5. Step 5: Solve for x
    x = 717,016,045,824/592,560
  6. Step 6: Final answer
    x = 1,210,031.13

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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.