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Finding the Third Proportional to 390,526 and 846,176

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Solution

The third proportional to 390,526 and 846,176 is: 1,833,460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,526 : 846,176 = 846,176 : x
  2. Step 2: Convert to fraction form
    390,526/846,176 = 846,176/x
  3. Step 3: Cross multiply
    390,526x = 846,176 × 846,176
  4. Step 4: Simplify right side
    390,526x = 716,013,822,976
  5. Step 5: Solve for x
    x = 716,013,822,976/390,526
  6. Step 6: Final answer
    x = 1,833,460.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.