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Finding the Third Proportional to 347,197,969.50 and 528,936,608.25

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Solution

The third proportional to 347,197,969.50 and 528,936,608.25 is: 805,805,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,197,969.50 : 528,936,608.25 = 528,936,608.25 : x
  2. Step 2: Convert to fraction form
    347,197,969.50/528,936,608.25 = 528,936,608.25/x
  3. Step 3: Cross multiply
    347,197,969.50x = 528,936,608.25 × 528,936,608.25
  4. Step 4: Simplify right side
    347,197,969.50x = 279,773,935,547,013,984
  5. Step 5: Solve for x
    x = 279,773,935,547,013,984/347,197,969.50
  6. Step 6: Final answer
    x = 805,805,218.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.