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Finding the Third Proportional to 475,854 and 700,629

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Solution

The third proportional to 475,854 and 700,629 is: 1,031,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,854 : 700,629 = 700,629 : x
  2. Step 2: Convert to fraction form
    475,854/700,629 = 700,629/x
  3. Step 3: Cross multiply
    475,854x = 700,629 × 700,629
  4. Step 4: Simplify right side
    475,854x = 490,880,995,641
  5. Step 5: Solve for x
    x = 490,880,995,641/475,854
  6. Step 6: Final answer
    x = 1,031,579.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.