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Finding the Third Proportional to 264,368 and 425,574

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Solution

The third proportional to 264,368 and 425,574 is: 685,080.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,368 : 425,574 = 425,574 : x
  2. Step 2: Convert to fraction form
    264,368/425,574 = 425,574/x
  3. Step 3: Cross multiply
    264,368x = 425,574 × 425,574
  4. Step 4: Simplify right side
    264,368x = 181,113,229,476
  5. Step 5: Solve for x
    x = 181,113,229,476/264,368
  6. Step 6: Final answer
    x = 685,080.00

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.