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Finding the Third Proportional to 704,784 and 1,004,688

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Solution

The third proportional to 704,784 and 1,004,688 is: 1,432,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,784 : 1,004,688 = 1,004,688 : x
  2. Step 2: Convert to fraction form
    704,784/1,004,688 = 1,004,688/x
  3. Step 3: Cross multiply
    704,784x = 1,004,688 × 1,004,688
  4. Step 4: Simplify right side
    704,784x = 1,009,397,977,344
  5. Step 5: Solve for x
    x = 1,009,397,977,344/704,784
  6. Step 6: Final answer
    x = 1,432,208.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.