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Finding the Third Proportional to 506,456.25 and 772,547.25

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Solution

The third proportional to 506,456.25 and 772,547.25 is: 1,178,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,456.25 : 772,547.25 = 772,547.25 : x
  2. Step 2: Convert to fraction form
    506,456.25/772,547.25 = 772,547.25/x
  3. Step 3: Cross multiply
    506,456.25x = 772,547.25 × 772,547.25
  4. Step 4: Simplify right side
    506,456.25x = 596,829,253,482.56
  5. Step 5: Solve for x
    x = 596,829,253,482.56/506,456.25
  6. Step 6: Final answer
    x = 1,178,441.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.