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Finding the Third Proportional to 310,773 and 680,604

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Solution

The third proportional to 310,773 and 680,604 is: 1,490,547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,773 : 680,604 = 680,604 : x
  2. Step 2: Convert to fraction form
    310,773/680,604 = 680,604/x
  3. Step 3: Cross multiply
    310,773x = 680,604 × 680,604
  4. Step 4: Simplify right side
    310,773x = 463,221,804,816
  5. Step 5: Solve for x
    x = 463,221,804,816/310,773
  6. Step 6: Final answer
    x = 1,490,547.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.