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Finding the Third Proportional to 301,044 and 466,389

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Solution

The third proportional to 301,044 and 466,389 is: 722,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,044 : 466,389 = 466,389 : x
  2. Step 2: Convert to fraction form
    301,044/466,389 = 466,389/x
  3. Step 3: Cross multiply
    301,044x = 466,389 × 466,389
  4. Step 4: Simplify right side
    301,044x = 217,518,699,321
  5. Step 5: Solve for x
    x = 217,518,699,321/301,044
  6. Step 6: Final answer
    x = 722,547.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.