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Finding the Third Proportional to 532,265 and 846,480

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Solution

The third proportional to 532,265 and 846,480 is: 1,346,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,265 : 846,480 = 846,480 : x
  2. Step 2: Convert to fraction form
    532,265/846,480 = 846,480/x
  3. Step 3: Cross multiply
    532,265x = 846,480 × 846,480
  4. Step 4: Simplify right side
    532,265x = 716,528,390,400
  5. Step 5: Solve for x
    x = 716,528,390,400/532,265
  6. Step 6: Final answer
    x = 1,346,187.31

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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.