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Finding the Third Proportional to 287,466 and 604,722

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Solution

The third proportional to 287,466 and 604,722 is: 1,272,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,466 : 604,722 = 604,722 : x
  2. Step 2: Convert to fraction form
    287,466/604,722 = 604,722/x
  3. Step 3: Cross multiply
    287,466x = 604,722 × 604,722
  4. Step 4: Simplify right side
    287,466x = 365,688,697,284
  5. Step 5: Solve for x
    x = 365,688,697,284/287,466
  6. Step 6: Final answer
    x = 1,272,111.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.