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Finding the Third Proportional to 532,308 and 846,546

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Solution

The third proportional to 532,308 and 846,546 is: 1,346,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,308 : 846,546 = 846,546 : x
  2. Step 2: Convert to fraction form
    532,308/846,546 = 846,546/x
  3. Step 3: Cross multiply
    532,308x = 846,546 × 846,546
  4. Step 4: Simplify right side
    532,308x = 716,640,130,116
  5. Step 5: Solve for x
    x = 716,640,130,116/532,308
  6. Step 6: Final answer
    x = 1,346,288.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.