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Finding the Third Proportional to 395,833.50 and 830,547

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Solution

The third proportional to 395,833.50 and 830,547 is: 1,742,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,833.50 : 830,547 = 830,547 : x
  2. Step 2: Convert to fraction form
    395,833.50/830,547 = 830,547/x
  3. Step 3: Cross multiply
    395,833.50x = 830,547 × 830,547
  4. Step 4: Simplify right side
    395,833.50x = 689,808,319,209
  5. Step 5: Solve for x
    x = 689,808,319,209/395,833.50
  6. Step 6: Final answer
    x = 1,742,672.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.