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Finding the Third Proportional to 666,518.63 and 952,461.28

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Solution

The third proportional to 666,518.63 and 952,461.28 is: 1,361,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,518.63 : 952,461.28 = 952,461.28 : x
  2. Step 2: Convert to fraction form
    666,518.63/952,461.28 = 952,461.28/x
  3. Step 3: Cross multiply
    666,518.63x = 952,461.28 × 952,461.28
  4. Step 4: Simplify right side
    666,518.63x = 907,182,492,280.39
  5. Step 5: Solve for x
    x = 907,182,492,280.39/666,518.63
  6. Step 6: Final answer
    x = 1,361,075.98

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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.