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Finding the Third Proportional to 319,031.50 and 478,547.75

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Solution

The third proportional to 319,031.50 and 478,547.75 is: 717,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,031.50 : 478,547.75 = 478,547.75 : x
  2. Step 2: Convert to fraction form
    319,031.50/478,547.75 = 478,547.75/x
  3. Step 3: Cross multiply
    319,031.50x = 478,547.75 × 478,547.75
  4. Step 4: Simplify right side
    319,031.50x = 229,007,949,030.06
  5. Step 5: Solve for x
    x = 229,007,949,030.06/319,031.50
  6. Step 6: Final answer
    x = 717,822.38

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