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Finding the Third Proportional to 504,352 and 780,896

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Solution

The third proportional to 504,352 and 780,896 is: 1,209,073.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,352 : 780,896 = 780,896 : x
  2. Step 2: Convert to fraction form
    504,352/780,896 = 780,896/x
  3. Step 3: Cross multiply
    504,352x = 780,896 × 780,896
  4. Step 4: Simplify right side
    504,352x = 609,798,562,816
  5. Step 5: Solve for x
    x = 609,798,562,816/504,352
  6. Step 6: Final answer
    x = 1,209,073.35

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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.