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Finding the Third Proportional to 506,461 and 772,553

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Solution

The third proportional to 506,461 and 772,553 is: 1,178,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,461 : 772,553 = 772,553 : x
  2. Step 2: Convert to fraction form
    506,461/772,553 = 772,553/x
  3. Step 3: Cross multiply
    506,461x = 772,553 × 772,553
  4. Step 4: Simplify right side
    506,461x = 596,838,137,809
  5. Step 5: Solve for x
    x = 596,838,137,809/506,461
  6. Step 6: Final answer
    x = 1,178,448.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.