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Finding the Third Proportional to 328,373.50 and 709,139

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Solution

The third proportional to 328,373.50 and 709,139 is: 1,531,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,373.50 : 709,139 = 709,139 : x
  2. Step 2: Convert to fraction form
    328,373.50/709,139 = 709,139/x
  3. Step 3: Cross multiply
    328,373.50x = 709,139 × 709,139
  4. Step 4: Simplify right side
    328,373.50x = 502,878,121,321
  5. Step 5: Solve for x
    x = 502,878,121,321/328,373.50
  6. Step 6: Final answer
    x = 1,531,421.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.