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Finding the Third Proportional to 507,301 and 802,701

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Solution

The third proportional to 507,301 and 802,701 is: 1,270,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,301 : 802,701 = 802,701 : x
  2. Step 2: Convert to fraction form
    507,301/802,701 = 802,701/x
  3. Step 3: Cross multiply
    507,301x = 802,701 × 802,701
  4. Step 4: Simplify right side
    507,301x = 644,328,895,401
  5. Step 5: Solve for x
    x = 644,328,895,401/507,301
  6. Step 6: Final answer
    x = 1,270,111.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.