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Finding the Third Proportional to 695,210.63 and 1,075,893.75

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Solution

The third proportional to 695,210.63 and 1,075,893.75 is: 1,665,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,210.63 : 1,075,893.75 = 1,075,893.75 : x
  2. Step 2: Convert to fraction form
    695,210.63/1,075,893.75 = 1,075,893.75/x
  3. Step 3: Cross multiply
    695,210.63x = 1,075,893.75 × 1,075,893.75
  4. Step 4: Simplify right side
    695,210.63x = 1,157,547,361,289.06
  5. Step 5: Solve for x
    x = 1,157,547,361,289.06/695,210.63
  6. Step 6: Final answer
    x = 1,665,031.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.