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Finding the Third Proportional to 304,314 and 456,528

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Solution

The third proportional to 304,314 and 456,528 is: 684,877.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,314 : 456,528 = 456,528 : x
  2. Step 2: Convert to fraction form
    304,314/456,528 = 456,528/x
  3. Step 3: Cross multiply
    304,314x = 456,528 × 456,528
  4. Step 4: Simplify right side
    304,314x = 208,417,814,784
  5. Step 5: Solve for x
    x = 208,417,814,784/304,314
  6. Step 6: Final answer
    x = 684,877.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.