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Finding the Third Proportional to 601,545 and 846,360

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Solution

The third proportional to 601,545 and 846,360 is: 1,190,809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,545 : 846,360 = 846,360 : x
  2. Step 2: Convert to fraction form
    601,545/846,360 = 846,360/x
  3. Step 3: Cross multiply
    601,545x = 846,360 × 846,360
  4. Step 4: Simplify right side
    601,545x = 716,325,249,600
  5. Step 5: Solve for x
    x = 716,325,249,600/601,545
  6. Step 6: Final answer
    x = 1,190,809.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.