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Finding the Third Proportional to 715,506 and 968,283

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Solution

The third proportional to 715,506 and 968,283 is: 1,310,362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,506 : 968,283 = 968,283 : x
  2. Step 2: Convert to fraction form
    715,506/968,283 = 968,283/x
  3. Step 3: Cross multiply
    715,506x = 968,283 × 968,283
  4. Step 4: Simplify right side
    715,506x = 937,571,968,089
  5. Step 5: Solve for x
    x = 937,571,968,089/715,506
  6. Step 6: Final answer
    x = 1,310,362.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.