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Finding the Third Proportional to 297,004 and 459,574

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Solution

The third proportional to 297,004 and 459,574 is: 711,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,004 : 459,574 = 459,574 : x
  2. Step 2: Convert to fraction form
    297,004/459,574 = 459,574/x
  3. Step 3: Cross multiply
    297,004x = 459,574 × 459,574
  4. Step 4: Simplify right side
    297,004x = 211,208,261,476
  5. Step 5: Solve for x
    x = 211,208,261,476/297,004
  6. Step 6: Final answer
    x = 711,129.35

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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.