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Finding the Third Proportional to 464,547.75 and 625,197

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Solution

The third proportional to 464,547.75 and 625,197 is: 841,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,547.75 : 625,197 = 625,197 : x
  2. Step 2: Convert to fraction form
    464,547.75/625,197 = 625,197/x
  3. Step 3: Cross multiply
    464,547.75x = 625,197 × 625,197
  4. Step 4: Simplify right side
    464,547.75x = 390,871,288,809
  5. Step 5: Solve for x
    x = 390,871,288,809/464,547.75
  6. Step 6: Final answer
    x = 841,401.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.