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Finding the Third Proportional to 417,214.88 and 856,547.25

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Solution

The third proportional to 417,214.88 and 856,547.25 is: 1,758,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,214.88 : 856,547.25 = 856,547.25 : x
  2. Step 2: Convert to fraction form
    417,214.88/856,547.25 = 856,547.25/x
  3. Step 3: Cross multiply
    417,214.88x = 856,547.25 × 856,547.25
  4. Step 4: Simplify right side
    417,214.88x = 733,673,191,482.56
  5. Step 5: Solve for x
    x = 733,673,191,482.56/417,214.88
  6. Step 6: Final answer
    x = 1,758,502.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.