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Finding the Third Proportional to 304,312 and 456,526

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Solution

The third proportional to 304,312 and 456,526 is: 684,876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,312 : 456,526 = 456,526 : x
  2. Step 2: Convert to fraction form
    304,312/456,526 = 456,526/x
  3. Step 3: Cross multiply
    304,312x = 456,526 × 456,526
  4. Step 4: Simplify right side
    304,312x = 208,415,988,676
  5. Step 5: Solve for x
    x = 208,415,988,676/304,312
  6. Step 6: Final answer
    x = 684,876.01

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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.